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Journal articles on the topic 'Sovnarkom A.K.S.S.R'

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Published: 28 July 2024
Last updated: 31 July 2025

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1

Catral, M., L. Lebtahi, J. Stuart, and N. Thome. "Spectral study of {R,s+1,k}- and {R,s+1,k,∗}-potent matrices." Journal of Computational and Applied Mathematics 373 (August 2020): 112414. http://dx.doi.org/10.1016/j.cam.2019.112414.

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2

Koparal, Sibel, Neşe Ömür, and Laid Elkhiri. "On generalized hyperharmonic numbers of order r, H_{n,m}^{r} (\sigma)." Notes on Number Theory and Discrete Mathematics 29, no. 4 (2023): 804–12. http://dx.doi.org/10.7546/nntdm.2023.29.4.804-812.

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In this paper, we define generalized hyperharmonic numbers of order $r, H_{n,m}^{r}\left( \sigma \right) ,$ for $m\in \mathbb{Z}^{+}$ and give some applications by using generating functions of these numbers. For example, for $n, r, s\in \mathbb{Z}^{+}$ such that $1\leq s\leq r,$ \begin{equation*} \sum\limits_{k=1}^{n}\binom{n-k+s-1}{s-1}H_{k,m}^{r-s}\left( \sigma \right) =H_{n,m}^{r}\left( \sigma \right), \end{equation*} and \begin{equation*} \sum_{k=1}^{n}\sum_{i=1}^{k}\frac{H_{k-i,m}^{r+1}\left( \sigma \right) D_{r}(k-i+r)}{(n-k)!\left( k-i+r\right) !}=H_{n,m}^{2r+2}(\sigma ), \end{equation
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3

Sahandi, Parviz, and Siamak Yassemi. "Filter Rings Under Flat Base Change." Algebra Colloquium 15, no. 03 (2008): 463–70. http://dx.doi.org/10.1142/s1005386708000448.

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Let φ: (R, 𝔪) → (S, 𝔫) be a flat local homomorphism of rings. In this paper, we prove: (1) If dim S/𝔪S > 0, then S is a filter ring if and only if R and k(𝔭) ⊗R𝔭 S𝔮 are Cohen–Macaulay for all 𝔮 ∈ Spec (S) \ {𝔫} and 𝔭= 𝔮 ∩ R, and S/𝔭S is catenary and equidimensional for all minimal prime ideals 𝔭 of R. (2) If dim S/𝔪S = 0, then S is a filter ring if and only if R is a filter ring and k(𝔭) ⊗R𝔭 S𝔮 is Cohen–Macaulay for all 𝔮 ∈ Spec (S) \ {𝔫} and 𝔭 = 𝔮 ∩ R, and S/𝔭S is catenary and equidimensional for all minimal prime ideals 𝔭 of R. As an application, it is shown that for a k-algebra R and an
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Khani-Nasab, Omid, Ahmed Hamed, and Achraf Malek. "Weakly S-Noetherian modules." Filomat 37, no. 14 (2023): 4649–57. http://dx.doi.org/10.2298/fil2314649k.

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Let R be a commutative ring, S a multiplicative subset of R and M an R-module. We say that M satisfies weakly S-stationary on ascending chains of submodules (w-ACCS on submodules or weakly S-Noetherian) if for every ascending chain M1 ? M2 ? M3 ? ... of submodules of M, there exists k ? N such that for each n ? k, snMn ? Mk for some sn ? S. In this paper, we investigate modules (respectively, rings) with w-ACCS on submodules (respectively, ideals). We prove that if R satisfies w-ACCS on ideals, then R is a Goldie ring. Also, we prove that a semilocal commutative ring with w-ACCS on ideals have
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5

HONARY, T. G., and S. MORADI. "UNIFORM APPROXIMATION BY POLYNOMIAL, RATIONAL AND ANALYTIC FUNCTIONS." Bulletin of the Australian Mathematical Society 77, no. 3 (2008): 387–99. http://dx.doi.org/10.1017/s0004972708000464.

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AbstractLet K and X be compact plane sets such that $K\subseteq X$. Let P(K) be the uniform closure of polynomials on K, let R(K) be the uniform closure of rational functions on K with no poles in K and let A(K) be the space of continuous functions on K which are analytic on int(K). Define P(X,K),R(X,K) and A(X,K) to be the set of functions in C(X) whose restriction to K belongs to P(K),R(K) and A(K), respectively. Let S0(A) denote the set of peak points for the Banach function algebra A on X. Let S and T be compact subsets of X. We extend the Hartogs–Rosenthal theorem by showing that if the s
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SELBY, M. J. "GEOMORPHOLOGY AND SOILS. Edited by K. S. Richards, R. R. Arnett and S. Ellis." New Zealand Geographer 45, no. 1 (1989): 46. http://dx.doi.org/10.1111/j.1745-7939.1989.tb01497.x.

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7

Balister, Paul, Béla Bollobás, Amites Sarkar, and Mark Walters. "Sentry Selection in Wireless Networks." Advances in Applied Probability 42, no. 01 (2010): 1–25. http://dx.doi.org/10.1017/s0001867800003888.

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Let be a Poisson process of intensity one in the infinite plane ℝ2. We surround each point x of by the open disc of radius r centred at x. Now let S n be a fixed disc of area n, and let C r (S n ) be the set of discs which intersect S n . Write E r k for the event that C r (S n ) is a k-cover of S n , and F r k for the event that C r (S n ) may be partitioned into k disjoint single covers of S n . We prove that P(E r k ∖ F r k ) ≤ c k / logn, and that this result is best possible. We also give improved estimates for P(E r k ). Finally, we study the obstructions to k-partitionability in more de
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8

Mahdou, Najib, El Houssaine Oubouhou, and Ece Yetkin Celikel. "On nonnil-S-Noetherian and nonnil-u-S-Noetherian rings." Analele Universitatii "Ovidius" Constanta - Seria Matematica 32, no. 1 (2024): 201–20. https://doi.org/10.2478/auom-2024-0011.

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Abstract Let R be a commutative ring with identity, and let S be a multiplicative subset of R. Then R is called a nonnil-S-Noetherian ring if every nonnil ideal of R is S-finite. Also, R is called a u-S-Noetherian ring if there exists an element s ∈ S such that for each ideal I of R, sI ⊆ K for some finitely generated sub-ideal K of I. In this paper, we examine some new characterization of nonnil-S-Noetherian rings. Then, as a generalization of nonnil-S-Noetherian rings and u-S-Noetherian rings, we introduce and investigate the nonnilu-S-Noetherian rings class.
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9

Gutin, Gregory, Magnus Wahlström, and Meirav Zehavi. "r -Simple k -Path and Related Problems Parameterized by k / r." ACM Transactions on Algorithms 17, no. 1 (2021): 1–64. http://dx.doi.org/10.1145/3439721.

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Abasi et al. (2014) introduced the following two problems. In the r -S imple k -P ath problem, given a digraph G on n vertices and positive integers r , k , decide whether G has an r -simple k -path, which is a walk where every vertex occurs at most r times and the total number of vertex occurrences is k . In the ( r , k )-M onomial D etection problem, given an arithmetic circuit that succinctly encodes some polynomial P on n variables and positive integers k , r , decide whether P has a monomial of total degree k where the degree of each variable is at most r . Abasi et al. obtained randomize
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10

Boyde, Guy. "p-Hyperbolicity of homotopy groups via K-theory." Mathematische Zeitschrift 301, no. 1 (2022): 977–1009. http://dx.doi.org/10.1007/s00209-021-02917-1.

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AbstractWe show that $$S^n \vee S^m$$ S n ∨ S m is $${\mathbb {Z}}/p^r$$ Z / p r -hyperbolic for all primes p and all $$r \in {\mathbb {Z}}^+$$ r ∈ Z + , provided $$n,m \ge 2$$ n , m ≥ 2 , and consequently that various spaces containing $$S^n \vee S^m$$ S n ∨ S m as a p-local retract are $${\mathbb {Z}}/p^r$$ Z / p r -hyperbolic. We then give a K-theory criterion for a suspension $$\Sigma X$$ Σ X to be p-hyperbolic, and use it to deduce that the suspension of a complex Grassmannian $$\Sigma Gr_{k,n}$$ Σ G r k , n is p-hyperbolic for all odd primes p when $$n \ge 3$$ n ≥ 3 and $$0<k<n$$ 0
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11

Ilemobade, Richard, Olufemi George, and Jaiyeola Temitope Gbolahan. "On the universality and isotopy-isomorphy of (r,s,t)-inverse quasigroups and loops with applications to cryptography." Quasigroups and Related Systems 31, no. 1(49) (2023): 53–64. http://dx.doi.org/10.56415/qrs.v31.04.

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This paper introduced a condition called $\mathcal{R}$-condition under which $(r,s,t)$-inverse quasigroups are universal. Middle isotopic $(r,s,t)$-inverse loops, satisfying the $\mathcal{R}$-condition and possessing a trivial set of $r$-weak inverse permutations were shown to be isomorphic; isotopy-isomorphy for $(r,s,t)$-inverse loops. Isotopy-isomorphy for $(r,s,t)$-inverse loops was generally characterized. With the $\mathcal{R}$-condition, it was shown that for positive integers $r$, $s$ and $t$, if there is a $(r,s,t)$-inverse quasigroup of order $3k$ with an inverse-cycle of length $gcd
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12

Djibril Diallo, Abdoul, Papa Cheikhou Diop, and Mamadou Barry. "On S-quasi-Dedekind Modules." Journal of Mathematics Research 9, no. 5 (2017): 97. http://dx.doi.org/10.5539/jmr.v9n5p97.

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Let $R$ be a commutative ring and $M$ an unital $R$-module. A proper submodule $L$ of $M$ is called primary submodule of $M$, if $rm\in L$, where $r\in R$, $m\in M$, then $m\in L$ or $r^{n}M\subseteq L$ for some positive integer $n$. A submodule $K$ of $M$ is called semi-small submodule of $M$ if, $K+L\neq M$ for each primary submodule $L$ of $M$. An $R$-module $M$ is called S-quasi-Dedekind module if, for each $f\in End_{R}(M),$ $ f\neq 0$ implies $Kerf$ semi-small in $M$. In this paper we introduce the concept of S-quasi-Dedekind modules as a generalisation of small quasi-Dedekind modules, a
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13

Fino, Anna, Gueo Grantcharov, and Luigi Vezzoni. "Solutions to the Hull–Strominger System with Torus Symmetry." Communications in Mathematical Physics 388, no. 2 (2021): 947–67. http://dx.doi.org/10.1007/s00220-021-04223-7.

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AbstractWe construct new smooth solutions to the Hull–Strominger system, showing that the Fu–Yau solution on torus bundles over K3 surfaces can be generalized to torus bundles over K3 orbifolds. In particular, we prove that, for $$13 \le k \le 22$$ 13 ≤ k ≤ 22 and $$14\le r\le 22$$ 14 ≤ r ≤ 22 , the smooth manifolds $$S^1\times \sharp _k(S^2\times S^3)$$ S 1 × ♯ k ( S 2 × S 3 ) and $$\sharp _r (S^2 \times S^4) \sharp _{r+1} (S^3 \times S^3)$$ ♯ r ( S 2 × S 4 ) ♯ r + 1 ( S 3 × S 3 ) , have a complex structure with trivial canonical bundle and admit a solution to the Hull–Strominger system.
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14

Hashimoto, Mitsuyasu. "Base change of Invariant subrings." Nagoya Mathematical Journal 186 (2007): 165–71. http://dx.doi.org/10.1017/s0027763000009405.

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AbstractLet R be a Dedekind domain, G an affine flat R-group scheme, and B a flat R-algebra on which G acts. Let A → BG be an R-algebra map. Assume that A is Noetherian. We show that if the induced map K ⊗ A → (K ⊗B)K⊗G is an isomorphism for any algebraically closed field K which is an R-algebra, then S ⊗ A → (S ⊗ B)S⊗G is an isomorphism for any R-algebra S.
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15

Khani-Nasab, Omid, and Ahmed Hamed. "Weakly S-Artinian modules." Filomat 35, no. 15 (2021): 5215–26. http://dx.doi.org/10.2298/fil2115215k.

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Let R be a ring, S a multiplicative subset of R and M a left R-module. We say M is a weakly S-Artinian module if every descending chain N1 ? N2 ? N3 ? ... of submodules of M is weakly S-stationary, i.e., there exists k ? N such that for each n ? k, snNk ? Nn for some sn ? S. One aim of this paper is to study the class of such modules. We show that over an integral domain, weakly S-Artinian forces S to be R n f0g; whenever S is a saturated multiplicative set. Also we investigate conditions under which weakly S-Artinian implies Artinian. In the second part of this paper, we focus on multiplicati
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16

Orponen, Tuomas. "Additive properties of fractal sets on the parabola." Annales Fennici Mathematici 48, no. 1 (2023): 113–39. http://dx.doi.org/10.54330/afm.125826.

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Let \(0 \leq s \leq 1\), and let \(\mathbb{P} := \{(t,t^{2}) \in \mathbb{R}^{2} \colon t \in [-1,1]\}\). If \(K \subset \mathbb{P}\) is a closed set with \(\operatorname{dim}_{\mathrm{H}} K = s\), it is not hard to see that \(\operatorname{dim}_{\mathrm{H}} (K + K) \geq 2s\). The main corollary of the paper states that if \(0 < s < 1\), then adding \(K\) once more makes the sum slightly larger: \( \operatorname{dim}_{\mathrm{H}} (K + K + K) \geq 2s + \epsilon,\)where \(\epsilon = \epsilon(s) > 0\). This information is deduced from an \(L^{6}\) bound for the Fourier transforms of Frost
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17

Turan, Nurbige, and Necati Olgun. "On Fitting Ideals of Kahler Differential Module." Symmetry 10, no. 9 (2018): 413. http://dx.doi.org/10.3390/sym10090413.

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Let k be an algebraically closed field of characteristic zero, and R / I and S / J be algebras over k . Ω 1 ( R / I ) and Ω 1 ( S / J ) denote universal module of first order derivation over k . The main result of this paper asserts that the first nonzero Fitting ideal Ω 1 ( R / I ⊗ k S / J ) is an invertible ideal, if the first nonzero Fitting ideals Ω 1 ( R / I ) and Ω 1 ( S / J ) are invertible ideals. Then using this result, we conclude that the projective dimension of Ω 1 ( R / I ⊗ k S / J ) is less than or equal to one.
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18

Ramm, Alexander G. "Completeness of the set \(\{e^{ik\beta \cdot s}\}|_{\forall \beta \in S^2}\)." Global Journal of Mathematical Analysis 5, no. 2 (2017): 43. http://dx.doi.org/10.14419/gjma.v5i2.7975.

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Let \(S^2\) be the unit sphere in \(\mathbb{R}^3\), \(k>0\) be a fixed constant, \(s\in S\), and \(S\) is a smooth, closed, connected surface, the boundary of a bounded domain \(D\) in \(\mathbb{R}^3\). It is proved that the set \(\{e^{ik\beta \cdot s}\}|_{\forall \beta \in S^2}\) is total in \(L^2(S)\) if and only if \(k^2\) is not a Dirichlet eigenvalue of the Laplacian in \(D\).
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19

Lin, Daming, and Ming J. Zuo. "RELIABILITY EVALUATION OF A LINEAR k-WITHIN-(r,s)-OUT-OF-(m,n):F LATTICE SYSTEM." Probability in the Engineering and Informational Sciences 14, no. 4 (2000): 435–43. http://dx.doi.org/10.1017/s0269964800144031.

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The linear k-within-(r, s)-out-of-(m, n):F lattice system consists of mn components arranged in m rows and n columns and fails whenever there is at least one rectangle of dimension r × s which contains k or more failed components. We propose recursive formulas for the calculation of the linear k-within-(r, s)-out-of-(m, n):F lattice system. The computing complexity of the system reliability using the recursive formulas is O((n − s)ms+1 + m2s) for r = m and O((r + 1)rs(m−r+1)[(n − s)m + 2r(s−1)ms]) for r < m.
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20

Coppersmith, Don, Győző Nagy, and Sasha Ravsky. "On curves contained in convex subsets of the plane." Studia Scientiarum Mathematicarum Hungarica 42, no. 1 (2005): 107–12. http://dx.doi.org/10.1556/sscmath.42.2005.1.9.

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If K' ? K are convex bodies of the plane then the perimeter of K' is not greater than the perimeter of K. We obtain the following generalization of this fact. Let K be a convex compact body of the plane with perimeter p and diameter d and let r ? 1 be an integer. Let s be the smallest number such that for any curve of length greater than s contained in K there is a straight line intersecting the curve at least in r+1 different points. Then s = rp/2 if r is even and s = (r-1) p/2 + d if r is odd.
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21

Al-Bahrany, B. H., and A. J. Al-Rikabiy. "S-Generalized supplemented modules." Baghdad Science Journal 7, no. 1 (2024): 180–90. http://dx.doi.org/10.21123/bsj.2010.11913.

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أكسيو قدم المفهوم الأتي، يقال للمقاس M بأنه مكمل معمم إذا كان لكل مقاس جزئي N من M، يوجد مقاس جزئي K من M بحيث أن K +N=M وNK  Rad(K).نها حمادة والهاشمي قدما المفهوم الأتي، يقال للخاصية S المعرفة على المقاسات بأنها خاصية شبه جذرية أذا تحقق الأتي:1. ليكن N→ M :f تشاكلاً شاملاً. أذا كانت M مقاساً يملك الخاصية S فأن N مقاساً يملك الخاصية S.2. كل مقاس M يحوي على المقاس الجزئي S(M).هذه الملاحظات قادتنا إلى اقتراح تعريف المقاسات المكملة المعممة من النمط S. لتكن S خاصية شبه جذرية، يقال للمقاس M المعرف على الحلقة R بأنه مقاس مكمل معمم من النمط S. إذا كان لكل مقاس جزئي N من M، يوجد مقاس جزئي K من M بح
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22

Pardede, Wesly Agustinus, Ahmad Faisol, and Fitriani Fitriani. "The X[[S]]-Sub-Exact Sequence of Generalized Power Series Rings." Al-Jabar : Jurnal Pendidikan Matematika 11, no. 2 (2020): 299–306. http://dx.doi.org/10.24042/ajpm.v11i2.6760.

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Let be a ring, a strictly ordered monoid, and K, L, M are R-modules. Then, we can construct the Generalized Power Series Modules (GPSM) K[[S]], L[[S]], and M[[S]], which are the module over the Generalized Power Series Rings (GPSR) R[[S]]. In this paper, we investigate the property of X[[S]]-sub-exact sequence on GPSM L[[S]] over GPSR R[[S]].
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23

Li, Chenkuan, and Joshua Beaudin. "On the Generalized Riesz Derivative." Mathematics 8, no. 7 (2020): 1089. http://dx.doi.org/10.3390/math8071089.

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The goal of this paper is to construct an integral representation for the generalized Riesz derivative R Z D x 2 s u ( x ) for k < s < k + 1 with k = 0 , 1 , ⋯ , which is proved to be a one-to-one and linearly continuous mapping from the normed space W k + 1 ( R ) to the Banach space C ( R ) . In addition, we show that R Z D x 2 s u ( x ) is continuous at the end points and well defined for s = 1 2 + k . Furthermore, we extend the generalized Riesz derivative R Z D x 2 s u ( x ) to the space C k ( R n ) , where k is an n-tuple of nonnegative integers, based on the normalization of distri
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24

AFKHAMI, M., Z. BARATI, K. KHASHYARMANESH, and N. PAKNEJAD. "CAYLEY SUM GRAPHS OF IDEALS OF A COMMUTATIVE RING." Journal of the Australian Mathematical Society 96, no. 3 (2014): 289–302. http://dx.doi.org/10.1017/s144678871400007x.

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AbstractLet $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}R$ be a commutative ring, $I(R)$ be the set of all ideals of $R$ and $S$ be a subset of $I^*(R)=I(R)\setminus \{0\}$. We define a Cayley sum digraph of ideals of $R$, denoted by $\overrightarrow{\mathrm{Cay}}^+ (I(R),S)$, as a directed graph whose vertex set is the set $I(R)$ and, for every two distinct vertices $I$ and $J$, there is an arc from $I$ to $J$, denoted by $I\
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25

Glock, Stefan, Felix Joos, Jaehoon Kim, Marcus Kühn, Lyuben Lichev, and Oleg Pikhurko. "On the (6,4)-problem of Brown, Erdős, and Sós." Proceedings of the American Mathematical Society, Series B 11, no. 17 (2024): 173–86. http://dx.doi.org/10.1090/bproc/170.

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Let f ( r ) ( n ; s , k ) f^{(r)}(n;s,k) be the maximum number of edges of an r r -uniform hypergraph on n n vertices not containing a subgraph with k k edges and at most s s vertices. In 1973, Brown, Erdős, and Sós conjectured that the limit lim n → ∞ n − 2 f ( 3 ) ( n ; k + 2 , k ) \begin{equation*} \lim _{n\to \infty } n^{-2} f^{(3)}(n;k+2,k) \end{equation*} exists for all k k and confirmed it for k = 2 k=2 . Recently, Glock showed this for k = 3 k=3 . We settle the next open case, k = 4 k=4 , by showing that f ( 3 ) ( n ; 6 , 4 ) = ( 7 36 + o ( 1 ) ) n 2 f^{(3)}(n;6,4)=\left (\frac {7}{36}
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26

Luo, Yanfeng, and Xiaoling Li. "R-Unipotent Congruences on Eventually Regular Semigroups." Algebra Colloquium 14, no. 01 (2007): 37–52. http://dx.doi.org/10.1142/s1005386707000053.

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A semigroup S is called an eventually regular semigroup if for every a ∈ S, there exists a positive integer n such that an is regular. In this paper, the R-unipotent, inverse semigroup and group congruences on an eventually regular semigroup S are described by means of certain congruence pairs (ξ, K), where ξ is a normal congruence on the subsemigroup 〈E(S)〉 generated by E(S), and K is a normal subsemigroup of S.
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27

Коваленко, Кирилл Дмитриевич, Kirill Dmitrievich Kovalenko, Андрей Михайлович Райгородский та Andrei Mikhailovich Raigorodskii. "Системы представителей". Matematicheskie Zametki 106, № 3 (2019): 387–94. http://dx.doi.org/10.4213/mzm12099.

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В настоящей работе получены нижние и верхние оценки на размер $\zeta(n,r,s,k)$ минимальной системы общих представителей для системы наборов $k$-элементных множеств. Под $\zeta(n,r,s,k)$ подразумевается максимальный по всем системам $\Sigma=\{M_1,…,M_r\}$ множеств $M_i$, состоящих из не менее $s$ подмножеств $\{1,…,n\}$ мощности не более $k$, минимальный размер системы общих представителей $\Sigma$. Полученные результаты обобщают доказанные ранее оценки величины $\zeta(n,r,s,1)$. Библиография: 15 названий.
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28

Deng, Yinbin, and Xian Yang. "Global higher regularity and decay estimates for positive solutions of fractional equations in RN *." Nonlinearity 37, no. 6 (2024): 065016. http://dx.doi.org/10.1088/1361-6544/ad4503.

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Abstract In the paper, we study the global higher regularity and decay estimates of the positive solutions for the following fractional equations { ( − Δ ) s u + u = | u | p − 2 u in R N , lim | x | → ∞ u ( x ) = 0 , u ∈ H s ( R N ) , (0.1) where s ∈ ( 0 , 1 ) , N > 2 s , 2 < p < 2 s ∗ := 2 N N − 2 s and ( − Δ ) s is the fractional Laplacian. Let Q be a positive solution of (0.1). We prove that Q ∈ C k , γ ( R N ) ∩ H k ( R N ) and obtain the decay estimates of D k Q as | x | → ∞ for all k ∈ N + and γ ∈ ( 0 , 1 ) . The argument relies on the Bessel kernel, comparison principle, Fourie
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29

Goodman, T. N. T., S. L. Lee, and A. Sharma. "Approximation and interpolation by complex splines on the torus." Proceedings of the Edinburgh Mathematical Society 32, no. 2 (1989): 197–212. http://dx.doi.org/10.1017/s0013091500028601.

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Let T2 = {(eix1, eix2):0 ≦ xj<2π, j=1,2} be a two dimensional torus and r, s, t and k be positive integers with k>r+s+t–2. Our main object is to study the approximation and interpolation properties of a class of smooth functions whose restrictions to each triangle of a three direction mesh lie in the linear span of or 0≦μ≦r–1, r+s–l≦μ+ν≦r+s+t–2, or 0≦ν≦s–1, r+s–1≦μ+ν≦r+s+t–2} Where (z1, z2) ∈ T2.
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MkW-, ;ksxs'k l. equs'oj. "Ckydkexkj% dkj.ks vkf.k mik;k;kstuk." 'Journal of Research & Development' 15, no. 1 (2023): 17–18. https://doi.org/10.5281/zenodo.7608947.

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: Hkfo";krhy ns’kkps vk/kkjLraHk Eg.kwu T;k ckydkadMs ikghys tkrs ijarq ns’kkrhy vlk ckydkapk eksBk oxZ vkgs ts fuj{kj] nq%[kh] d"Vh o vKkuh vkgsr- R;keqGs gs ckyds o ns'kkpk fodkl gksow 'kdsy gk ,d ç'ufpUgp vkgs- T;k dksoG;k o;ke/;s ckydkauk f'k{k.k feGkyk ikfgts vkf.k R;keqGs R;kapk O;fäeRo fodkl ?kMyk ikfgts R;k o;ke/;s cgqrka'kh ckyds fofo/k {ks=ke/;s dke djrkuk fnlwu ;srkr- R;keqGs R;kaP;k oS;fäd o O;äheRo fodklke/;s dqBsrjh [kaM iMrkuk fnlwu ;srks- ckydkaP;k fodklkoj  iz’ufpUg Eg.ktsp Ik;kZ;kus ns’kkP;k&nbsp
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Abouhalaka, Alaa, and Nico Groenewald. "Weakly S-2-absorbing ideals in non-commutative rings." Gulf Journal of Mathematics 19, no. 2 (2025): 463–77. https://doi.org/10.56947/gjom.v19i2.2836.

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This paper introduces and explores the notion of weakly S-2-absorbing ideals within the framework of non-commutative rings. Extending the concepts of weakly 2-absorbing ideals and weakly S-prime ideals, an ideal K of a ring R, which is disjoint from an m-system S, is defined as a (weakly) S-2-absorbing ideal if, for all r1, r2, r3 ∈ R with r1Rr2Rr3 ⊆ K (or 0 ≠ r1Rr2Rr3 ⊆ K), there exists s ∈ S such that r1r2〈s〉 ⊆ K, r1r3〈s〉 ⊆ K, or r2r3〈s〉 ⊆ K. We investigate key properties of weakly S-2-absorbing ideals, highlighting their differences from related structures such as weakly 2-absorbing ideals.
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Khan, Adnan, M. Haris Mateen, Ali Akgül та Md Shajib Ali. "The K Extended Laguerre Polynomials Involving A α r , n , k x F r r , r > 2". Advances in Mathematical Physics 2022 (5 вересня 2022): 1–10. http://dx.doi.org/10.1155/2022/6815685.

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In this manuscript, we present the generalized hypergeometric function of the type F r r , r > 2 and extension of the K Laguerre polynomial for the K extended Laguerre polynomials A r , n , k α x . Additionally, we describe the K generating function, K recurrence relations, and K S Rodrigues formula.
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33

Kulguskin, I. A., and D. T. Tapkin. "Involutions of $$\boldsymbol{K}_{\boldsymbol{s}}\boldsymbol{(R)}$$." Lobachevskii Journal of Mathematics 45, no. 4 (2024): 1850–65. http://dx.doi.org/10.1134/s1995080224601401.

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Xu, Changqing, Xianli Ma, and Shouliang Hua. "[r,s,t]-Coloring of K n,n." Journal of Applied Mathematics and Computing 31, no. 1-2 (2008): 45–50. http://dx.doi.org/10.1007/s12190-008-0190-9.

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35

Koparal, Sibel, Neşe Ömür, and Ömer Duran. "On identities involving generalized harmonic, hyperharmonic and special numbers with Riordan arrays." Special Matrices 9, no. 1 (2021): 22–30. http://dx.doi.org/10.1515/spma-2020-0111.

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Abstract In this paper, by means of the summation property to the Riordan array, we derive some identities involving generalized harmonic, hyperharmonic and special numbers. For example, for n ≥ 0, ∑ k = 0 n B k k ! H ( n . k , α ) = α H ( n + 1 , 1 , α ) - H ( n , 1 , α ) , \sum\limits_{k = 0}^n {{{{B_k}} \over {k!}}H\left( {n.k,\alpha } \right) = \alpha H\left( {n + 1,1,\alpha } \right) - H\left( {n,1,\alpha } \right)} , and for n > r ≥ 0, ∑ k = r n - 1 ( - 1 ) k s ( k , r ) r ! α k k ! H n - k ( α ) = ( - 1 ) r H ( n , r , α ) , \sum\limits_{k = r}^{n - 1} {{{\left( { - 1} \right)}^k}{{s
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36

Das, Sajal K., and Rafał Kapelko. "On the Range Assignment in Wireless Sensor Networks for Minimizing the Coverage-Connectivity Cost." ACM Transactions on Sensor Networks 17, no. 4 (2021): 1–48. http://dx.doi.org/10.1145/3457408.

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This article deals with reliable and unreliable mobile sensors having identical sensing radius r , communication radius R , provided that r ≤ R and initially randomly deployed on the plane by dropping them from an aircraft according to general random process. The sensors have to move from their initial random positions to the final destinations to provide greedy path k 1 -coverage simultaneously with k 2 -connectivity. In particular, we are interested in assigning the sensing radius r and communication radius R to minimize the time required and the energy consumption of transportation cost for
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37

Jarboui, Noômen, and Manar El Islam Toumi. "A visit to maximal non-ACCP subrings." Journal of Algebra and Its Applications 15, no. 01 (2015): 1650016. http://dx.doi.org/10.1142/s021949881650016x.

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In this paper, we characterize maximal non-ACCP subrings R of a domain S in case (R, S) is a residually algebraic pair and R is semilocal. In this paper, we also consider a K-algebra S, a nonzero proper ideal I of S and a subring D of the field K and we determine necessary and sufficient conditions in order that D + I is a maximal non-ACCP subring of S. This gives an example of a maximal non-ACCP subring R of a domain S such that (R, S) is a normal pair and R is not semilocal.
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38

frM+ds, MkW Mh e. "fo|kF;kZe/khy euLrki vkf.k R;kaps foKku fo"k;krhy laiknu & ,d lglaca/kkRed v/;;u." Journal of Research & Development 16, no. 8 (2024): 148–50. https://doi.org/10.5281/zenodo.12739440.

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<strong>lkjka'k %</strong> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; cnyR;k ifjfLFkrhuqlkj lektkP;k loZ {ks=kr ts cny ?kMwu ;srkr fdaok ?kMowu vk.kys tkrkr- R;kpizek.ks f'k{k.k {ks=kr lq/nk cnyR;k dkGkuqlkj fujfujkG;k leL;kapk 'kks/k ?ksowu R;ke/;s uohu cny ?kMowu vk.kys tkrkr- f'k{k.k fujarj pky.kkjh izf&Oslash;;k ;k izf&Oslash;;sr f'k{kdkph ftrdh tokcnkjh vkgs frrdhp tokcnkjh fo|kF;kZaph vkgs- ,[kknh d`rh dj.;klkBh O;fDrP;k fBdk.kh fdrh {kerk vkgs gs rikl.ks vko';d vlrs ijarw loZ fo|kF;kZae/;s laiknu{kerk lkj[khp vlrs vls ukgh- T;k fo|kF;kZaph ,[kk|k fo"k;krhy laiknu {kerk fo|kF;kZaP;k rqyu
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Mykytyuk, Ya V., and N. S. Sushchyk. "An operator Riccati equation and reflectionless Schrodinger operators." Matematychni Studii 61, no. 2 (2024): 176–87. http://dx.doi.org/10.30970/ms.61.2.176-187.

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In this paper, we study a connection between the operator Riccati equation $\displaystyle S'(x)=KS(x)+S(x)K-2S(x)KS(x), \quad x\in\mathbb{R},$ and the set of reflectionless Schr\"odinger operators with operator-valued potentials.Here $K\in \mathcal{B}(H)$, $K&gt;0$ and $S:\mathbb{R}\to \mathcal{B}(H)$, where $\mathcal{B}(H)$ is the Banach algebra of all linear continuous operators acting in a separable Hilbert space $H$. Let $\mathscr{S}^+(K)$ be the set of all solutions $S$ of the Riccati equation satisfying the conditions $0&lt; S(0)&lt; I $ and $S'(0)\ge 0$, with $I$ being the identity oper
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40

MATSUDA, KAZUNORI, TAO SUZUKI, and AKIYOSHI TSUCHIYA. "NONINCREASING DEPTH FUNCTIONS OF MONOMIAL IDEALS." Glasgow Mathematical Journal 60, no. 2 (2018): 505–11. http://dx.doi.org/10.1017/s0017089517000349.

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AbstractGiven a nonincreasing function f : ℤ≥ 0 \{0} → ℤ≥ 0 such that (i) f(k) − f(k + 1) ≤ 1 for all k ≥ 1 and (ii) if a = f(1) and b = limk → ∞f(k), then |f−1(a)| ≤ |f−1(a − 1)| ≤ ··· ≤ |f−1(b + 1)|, a system of generators of a monomial ideal I ⊂ K[x1, . . ., xn] for which depth S/Ik = f(k) for all k ≥ 1 is explicitly described. Furthermore, we give a characterization of triplets of integers (n, d, r) with n &gt; 0, d ≥ 0 and r &gt; 0 with the properties that there exists a monomial ideal I ⊂ S = K[x1, . . ., xn] for which limk→∞ depth S/Ik = d and dstab(I) = r, where dstab(I) is the smalles
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41

Valet, Frédéric. "Asymptotic 𝐾-soliton-like solutions of the Zakharov-Kuznetsov type equations". Transactions of the American Mathematical Society 374, № 5 (2021): 3177–213. http://dx.doi.org/10.1090/tran/8331.

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We study here the Zakharov-Kuznetsov equation in dimension 2 2 , 3 3 and 4 4 and the modified Zakharov-Kuznetsov equation in dimension 2 2 . Those equations admit solitons, characterized by their velocity and their shift. Given the parameters of K K solitons R k R^k (with distinct velocities), we prove the existence and uniqueness of a multi-soliton u u such that \[ ‖ u ( t ) − ∑ k = 1 K R k ( t ) ‖ H 1 → 0 as t → + ∞ . \| u(t) - \sum _{k=1}^K R^k(t) \|_{H^1} \to 0 \quad \text {as} \quad t \to +\infty . \] The convergence takes place in H s H^s with an exponential rate for all s ≥ 0 s \ge 0 .
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42

Burgess, W. D., and P. N. Stewart. "The characteristic ring and the “best” way to adjoin a one." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 47, no. 3 (1989): 483–96. http://dx.doi.org/10.1017/s1446788700033218.

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AbstractFor any ring S we define and describe its characteristic ring, k(S). It plays the rôle of the usual characteristic even in rings whose additive structure, (S, +), is complicated. The ring k(S) is an invariant of (S, +) and also reflects certain non-additive properties of S. If R is a left faithful ring without identity element, we show how to use k(R) to embed R in a ring R1 with identity. This unital overring of R inherits many ring properties of R; for instance, if R is artinian, noetherian, semiprime Goldie, regular, biregular or a V-ring, so too is R1. In the case of regularity (or
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43

vkdksVdj, izk-MkW p.-Mh. "L=hoknh lkfgR; & Hkwfedk ] Lo#i vkf.k pGoG & ,d n`f"V{ksi." International Journal of Advance and Applied Research 4, no. 36 (2023): 164–65. https://doi.org/10.5281/zenodo.10348317.

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<strong>lkjka'k %</strong>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Lokra=~;ksRrj dkGkr Hkkjrkr tlk yksd'kkghpk izpkj o izlkj &gt;kyk rlkp f'k{k.kkpkgh izpkj o izlkj &gt;kyk- loZ lekt f'kdw ykxyk o tkx`r &gt;kyk- ;ke/;s fL=;kapkgh lgHkkx eksBk gksrk yksd'kkghpk o f'k{k.kkpk fopkj tlk lektkP;k loZ Fkjki;Zar ikspyk rlk rks fL=;kai;Zargh ikspyk- fL=;k f'kdw ykxY;k R;kcjkscjp fygw ykxY;k] ;k dkGkr uouohu okM~e; izokg fuekZ.k &gt;kys-;ke/;sp ^L=hoknh lkfgR;* gk ,d egRokpk okM~e; izokg vkgs fL=;kauh vkiys iz'u lkfgR;krwu ekaMk;yk lq#okr dsyh- dfork] dFkk] dknacjh] vkRepfj=s bR;knh vusdfo/k izdkjkrwu R;k
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44

Nau, Carla, Werner Vogel, Gunter Hempelmann, and Michael E. Bräu. "Stereoselectivity of Bupivacaine in Local Anesthetic–sensitive Ion Channels of Peripheral Nerve." Anesthesiology 91, no. 3 (1999): 786. http://dx.doi.org/10.1097/00000542-199909000-00031.

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Background The local anesthetic bupivacaine exists in two stereoisomeric forms, R(+)- and S(-)-bupivacaine. Because of its lower cardiac and central nervous system toxicity, attempts were made recently to introduce S(-)-bupivacaine into clinical anesthesia. We investigated stereoselective actions of R(+)-and S(-)-bupivacaine toward two local anesthetic-sensitive ion channels in peripheral nerve, the Na+ and the flicker K+ channel. Methods In patch-clamp experiments on enzymatically demyelinated peripheral amphibian nerve fibers, Na+ and flicker K+ channels were investigated in outside-out patc
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45

Lizama, Carlos, and Felipe Poblete. "On a Functional Equation Associated with (a,k)-Regularized Resolvent Families." Abstract and Applied Analysis 2012 (2012): 1–23. http://dx.doi.org/10.1155/2012/495487.

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Leta∈Lloc1(ℝ+)andk∈C(ℝ+)be given. In this paper, we study the functional equationR(s)(a*R)(t)-(a*R)(s)R(t)=k(s)(a*R)(t)-k(t)(a*R)(s), for bounded operator valued functionsR(t)defined on the positive real lineℝ+. We show that, under some natural assumptions ona(·)andk(·), every solution of the above mentioned functional equation gives rise to a commutative(a,k)-resolvent familyR(t)generated byAx=lim t→0+(R(t)x-k(t)x/(a*k)(t))defined on the domainD(A):={x∈X:lim t→0+(R(t)x-k(t)x/(a*k)(t))exists inX}and, conversely, that each(a,k)-resolvent familyR(t)satisfy the above mentioned functional equation
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46

M'-, e/kq [kksczkxMs. "vkarjjk"Vªh; ekuo vf/kdkjkpk bfrgkl." International Journal of Advance and Applied Research 10, no. 1 (2022): 1040–43. https://doi.org/10.5281/zenodo.7312831.

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<strong>&ccedil;Lrkouk %</strong> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; ekuoh vf/kdkj gs rls &ccedil;R;sd euq&quot;;kP;k tUetkr lkscr vkysys vkgs- ekuoh vf/kdkjkapk tUe i`Fohoj euq&quot;;kaP;k fodklklkscrp &gt;kysyk vkgs- R;kP;k ladYiusyk nksu vk/kkj vkgsr- ,d Eg.kts jk&quot;V&ordf;h; o nqljk Eg.kts vkarjjk&quot;V&ordf;h; fofHkUu dkGkr ;kpk &ccedil;eq[k vk/kkj R;k&amp;R;k ns&#39;kkrhy /kekZpj.kkoj vk/kkjysyk vkgs- n;k] {kek gh ekuoh vf/kdkjkph &ccedil;eq[k vaxs vkgsr- ekuoh vf/kdkj laj{k.k ladYiuspk gGwgGw &ccedil;Fke ys[ku fu;ekae/;s gksr xsyk ;k &ccedil;f&Oslash;;se/;s vki.kkyk vu
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M'-, e/kq [kksczkxMs. "vkarjjk"Vªh; ekuo vf/kdkjkpk bfrgkl." International Journal of Advance and Applied Research 10, no. 1 (2022): 1072–75. https://doi.org/10.5281/zenodo.7386786.

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<strong>&ccedil;Lrkouk %</strong> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; ekuoh vf/kdkj gs rls &ccedil;R;sd euq&quot;;kP;k tUetkr lkscr vkysys vkgs- ekuoh vf/kdkjkapk tUe i`Fohoj euq&quot;;kaP;k fodklklkscrp &gt;kysyk vkgs- R;kP;k ladYiusyk nksu vk/kkj vkgsr- ,d Eg.kts jk&quot;V&ordf;h; o nqljk Eg.kts vkarjjk&quot;V&ordf;h; fofHkUu dkGkr ;kpk &ccedil;eq[k vk/kkj R;k&amp;R;k ns&#39;kkrhy /kekZpj.kkoj vk/kkjysyk vkgs- n;k] {kek gh ekuoh vf/kdkjkph &ccedil;eq[k vaxs vkgsr- ekuoh vf/kdkj laj{k.k ladYiuspk gGwgGw &ccedil;Fke ys[ku fu;ekae/;s gksr xsyk ;k &ccedil;f&Oslash;;se/;s vki.kkyk vu
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48

Álvarez Romero, José T., Daniel De La Cruz Hernández, and Raymundo Cabrera Vertti. "The dependence of N KR versus K R: the initial, thermal, volumetric recombination and screening effect on the efficiency of collected charges on the calibration of si HDR1000 plus well chambers with 192Ir HDR sources * ." Biomedical Physics & Engineering Express 8, no. 2 (2022): 027002. http://dx.doi.org/10.1088/2057-1976/ac4c2a.

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Abstract By using the statistical techniques of the ANOVA means test and regression, it was found that the N K R calibration factor of Standard Imaging (SI) model HDR 1000 plus chambers presents a quadratic dependence with the Reference air kerma rate K R (from 6.9 mGy h−1 to 43.9 mGy h−1). In order to understand and correct this dependency one model is presented for total recombination: k s = I 300 I 150 = 1 + k i n i + k d + k vol · I 300 + k s c r e e n · I 300 2 , where k ini is the initial recombination, k vol the thermal diffusion recombination, k vol the volumetric recombination and k s
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49

Fisher, Brian, and Emin Özçag. "Some results on the neutrix composition of the delta function." Filomat 26, no. 6 (2012): 1247–56. http://dx.doi.org/10.2298/fil1206247f.

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In this paper we prove that the neutrix composition ?(s) {[exp+ (x) ? H(x)]1/r } exists for r = 1, 2,... and s = 0, 1, 2,... and in particular ?(mr?1) {[exp+(x)? H(x)]1/r}= ?m-1,k=0 (?1)mr+k-1 r(mr-1)! Cmr-1,k /2k! ?(k)(x), for m, r = 1, 2,....
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50

Yusuf, Çuhadar. "İznik Kültür Turizmi Potansiyelinin Sürdürülebilir Turizm Bağlamında Değerlendirilmesi." SOCIAL SCIENCES STUDIES JOURNAL 11, no. 1 (2025): 49–56. https://doi.org/10.5281/zenodo.14741984.

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İznik, her karış toprağı y&uuml;zyıllardır k&uuml;lt&uuml;rel miras unsurlarıyla yoğrulmuş, tarih sayfalarında hep baş k&ouml;sede yer almış, d&ouml;rt imparatorluğun başkenti olmuş, nadir denecek yerlerden biridir. İznik sahip olduğu k&uuml;lt&uuml;rel unsurlar sebebiyle &ouml;nemli bir k&uuml;lt&uuml;r turizmi destinasyonudur. &Ccedil;alışmanın destinasyonu olarak se&ccedil;ilen İznik elinde bulundurduğu s&uuml;rd&uuml;r&uuml;lebilirlik &ouml;zelliğine uygun doğası ve k&uuml;lt&uuml;r unsurlarıyla mevcut imkanının &ccedil;ok daha aşasında turizm faaliyeti sunan bir yerdir. Bu durumun temel n
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