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Journal articles on the topic 'B)-modules'

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Published: 4 June 2021

Last updated: 1 February 2022

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1

Mathieu, Olivier. "Filtrations of $B$ -modules." Duke Mathematical Journal 59, no. 2 (1989): 421–42. http://dx.doi.org/10.1215/s0012-7094-89-05919-x.

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2

Doty, S. R. "Resolutions of B modules." Indagationes Mathematicae 5, no. 3 (1994): 267–83. http://dx.doi.org/10.1016/0019-3577(94)90003-5.

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3

Atani, Shahabaddin Ebrahimi, and Fatemeh Esmaeili Khalil Saraei. "On \b{L}-fuzzy multiplication modules." Discussiones Mathematicae - General Algebra and Applications 37, no. 2 (2017): 209. http://dx.doi.org/10.7151/dmgaa.1268.

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4

Oaku, Toshinori. "Regular b-functions of D-modules." Journal of Pure and Applied Algebra 213, no. 8 (2009): 1545–57. http://dx.doi.org/10.1016/j.jpaa.2008.11.020.

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5

Vella, David C. "A Character formula for B-modules." Communications in Algebra 20, no. 3 (1992): 665–79. http://dx.doi.org/10.1080/00927879208824366.

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6

Momtahan, Ehsan, Afshin Amini, and Babak Amini. "From Hom(A,X)  Hom(B,X) to A  B." Filomat 32, no. 11 (2018): 4079–87. http://dx.doi.org/10.2298/fil1811079m.

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Let A and B be two R-modules. We examine conditions under which Hom(A,X) ? Hom(B,X), implies that A ? B, where X belongs to an appropriate class of R-modules. Different perspectives of the question are studied. In the case of abelian groups (Z-modules), this investigation gives a partial answer to an old problem of L. Fuchs.

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7

Wang, Xian-Dong. "Verma Modules Over Generalized Block AlgebrasB(b(1),b(2))." Communications in Algebra 34, no. 2 (2006): 415–24. http://dx.doi.org/10.1080/00927870500387283.

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8

Amin, Ismail, Yasser Ibrahim, and Mohamed Yousif. "C3-Modules." Algebra Colloquium 22, no. 04 (2015): 655–70. http://dx.doi.org/10.1142/s1005386715000553.

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One of the continuity conditions identified by Utumi on self-injective rings is the C3-condition, where a module M is called a C3-module if whenever A and B are direct summands of M and A ∩ B=0, then A ⊕ B is a summand of M. In addition to injective and direct-injective modules, the class of C3-modules includes the semisimple, continuous, indecomposable and regular modules. Indeed, every commutative ring is a C3-ring. In this paper we provide a general and unified treatment of the above mentioned classes of modules in terms of the C3-condition, and establish new characterizations of several we

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9

Han, Jianzhi, Qiufan Chen, and Yucai Su. "Modules over the algebra Vir(a,b)." Linear Algebra and its Applications 515 (February 2017): 11–23. http://dx.doi.org/10.1016/j.laa.2016.11.002.

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10

Belgrade, R. "Dualité et Spectres des (a,b)-modules." Journal of Algebra 245, no. 1 (2001): 193–224. http://dx.doi.org/10.1006/jabr.2001.8913.

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11

MARTINEZ-VILLA, ROBERTO. "THE HOMOGENISED ENVELOPING ALGEBRA OF THE LIE ALGEBRA sℓ(2,ℂ)". Glasgow Mathematical Journal 56, № 3 (2014): 551–68. http://dx.doi.org/10.1017/s0017089514000032.

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AbstractIn this paper, we study the homogenised algebra B of the enveloping algebra U of the Lie algebra sℓ(2,ℂ). We look first to connections between the category of graded left B-modules and the category of U-modules, then we prove B is Koszul and Artin–Schelter regular of global dimension four, hence its Yoneda algebra B! is self-injective of radical five zeros, and the structure of B! is given. We describe next the category of homogenised Verma modules, which correspond to the lifting to B of the usual Verma modules over U, and prove that such modules are Koszul of projective dimension two

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12

Penkov, Ivan, and Gregg Zuckerman. "Generalized Harish-Chandra Modules with Generic Minimal t-Type." Asian Journal of Mathematics 8, no. 4 (2004): 795–812. http://dx.doi.org/10.4310/ajm.2004.v8.n4.a25.

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13

Zhang, Hongbo, and Wenting Tong. "The Cancellation Property of Projective Modules." Algebra Colloquium 13, no. 04 (2006): 617–22. http://dx.doi.org/10.1142/s1005386706000551.

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An R-module M is said to have the cancellation property provided that M⊕ B ≅ M⊕ C implies B ≅ C for any pair of R-modules B and C. We obtain a characterization of the cancellation property for projective R-modules. With this result, it is proved that Dedekind domains have the cancellation property; and if R is a Prüfer domain, then R⊕ B ≅ R⊕ C implies B ≅ C for any pair of finitely generated R-modules B and C.

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14

Tveiten, Ketil. "B-splines, Polytopes, and Their Characteristic D-modules." Communications in Algebra 43, no. 7 (2015): 2887–902. http://dx.doi.org/10.1080/00927872.2014.907416.

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15

Spigler, R., and M. Vianello. "Extending L′Hôpital′s Theorem to B-Modules." Journal of Mathematical Analysis and Applications 179, no. 2 (1993): 638–45. http://dx.doi.org/10.1006/jmaa.1993.1374.

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16

DOMAGALSKA, P., and E. R. PUCZYŁOWSKI. "DIMENSION MODULES AND MODULAR LATTICES." Journal of Algebra and Its Applications 11, no. 05 (2012): 1250082. http://dx.doi.org/10.1142/s021949881250082x.

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A module M is called a dimension module if the Goldie (uniform) dimension satisfies the formula u(A + B) + u(A ∩ B) = u(A) + u(B) for arbitrary submodules A, B of M. Dimension modules and related notions were studied by several authors. In this paper, we study them in a more general context of modular lattices with 0 to which the notion of dimension modules can be extended in an obvious way. Some constructions available in the lattice theory framework make it possible to identify several new aspects concerning the nature of dimension lattices and modules as well as to describe a number of rela

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17

BULACU, DANIEL, and STEFAAN CAENEPEEL. "A MONOIDAL STRUCTURE ON THE CATEGORY OF RELATIVE HOPF MODULES." Journal of Algebra and Its Applications 11, no. 02 (2012): 1250026. http://dx.doi.org/10.1142/s0219498811005506.

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Let B be a bialgebra, and A be a left B-comodule algebra in a braided monoidal category [Formula: see text], and assume that A is also a coalgebra, with a not-necessarily associative or unital left B-action. Then we can define a right A-action on the tensor product of two relative Hopf modules, and this defines a monoidal structure on the category of relative Hopf modules if and only if A is a bialgebra in the category of left Yetter–Drinfeld modules over B. Some examples are given.

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18

Guo, Kunyu. "Normal Hilbert modules over the ball algebra A(B)." Studia Mathematica 135, no. 1 (1999): 1–12. http://dx.doi.org/10.4064/sm-135-1-1-12.

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19

Wachi, Akihito. "Contravariant forms on generalized Verma modules and $b$-functions." Hiroshima Mathematical Journal 29, no. 1 (1999): 193–225. http://dx.doi.org/10.32917/hmj/1206125161.

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20

Karwasz, Piotr P. "Hermitian (a,b)-modules and Saito's ``higher residue pairings''." Annales Polonici Mathematici 108, no. 3 (2013): 241–61. http://dx.doi.org/10.4064/ap108-3-4.

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21

Karwasz, Piotr P. "Jordan–Hölder composition series of regular $(a,b)$-modules." Annales Polonici Mathematici 120, no. 3 (2017): 261–70. http://dx.doi.org/10.4064/ap4096-11-2017.

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22

Gyoja, Akihiko. "Highest weight modules and {$b$}-functions of semi-invariants." Publications of the Research Institute for Mathematical Sciences 30, no. 3 (1994): 353–400. http://dx.doi.org/10.2977/prims/1195165904.

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23

Adamovich, A. M. "Structure of cohomology modules of linear bundles overG/B." Mathematical Notes 62, no. 1 (1997): 8–14. http://dx.doi.org/10.1007/bf02356059.

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24

Mao, Lixin. "Modules with respect to cyclic purity." MATHEMATICA SCANDINAVICA 108, no. 2 (2011): 177. http://dx.doi.org/10.7146/math.scand.a-15166.

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An exact sequence $0\rightarrow A\rightarrow B\rightarrow C\rightarrow 0$ of left $R$-modules is called cyclically pure if for every right ideal $I$ of $R$, the sequence $0\rightarrow (R/I)\otimes A \rightarrow (R/I)\otimes B \rightarrow (R/I)\otimes C \rightarrow 0$ is exact. In this paper, we study some special modules with respect to cyclic purity, such as $CP$-projective, $CP$-injective and $CP$-flat modules.

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25

Hiremath, V. A. "Co-absolutely co-pure modules." Proceedings of the Edinburgh Mathematical Society 29, no. 3 (1986): 289–98. http://dx.doi.org/10.1017/s0013091500017739.

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B. Maddox [15] defined absolutely pure modules and derived some interesting properties of these modules. C. Megibben [17] continued the study of these modules and found more interesting properties. We introduce in this paper co-absolutely co-pure modules as dual to absolutely pure modules. We first prove that over a commutative classical ring these modules are precisely the flat modules. As a biproduct we get a projective characterization of flat modules over a commutative co-noetherian ring. Secondly, over a quasi-Frobenius ring R, co-absolutely co-pure right R-modules turn out to be projecti

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26

Kamal, Mahmoud A., and Amany M. Menshawy. "CS-modules and annihilator conditions." International Journal of Mathematics and Mathematical Sciences 2003, no. 50 (2003): 3195–202. http://dx.doi.org/10.1155/s0161171203206219.

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We studyS−R-bimodulesSMRwith the annihilator conditionS=lS(A)+lS(B)for any closed submoduleA, and a complementBofA, inMR. Such annihilator condition has a direct connection with the CS-condition forMR. We make use of this to give a new characterization of CS-modules. BimodulesSMRfor whichrMlS(A)=A(for every closed submoduleAofMR) are also dealt with. Such modules are calledW∗-modules. We give the extra added annihilator conditions toW∗-modules to be equivalent to the continuous (quasicontinuous) modules.

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27

Marastoni, Corrado. "Generalized Verma modules, b-functions of semi-invariants and duality for twisted -modules on generalized flag manifolds." Comptes Rendus Mathematique 335, no. 2 (2002): 111–16. http://dx.doi.org/10.1016/s1631-073x(02)02449-4.

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28

Sikander, Fahad, Alveera Mehdi, and Sabah A. R. K. Naji. "Different Characterizations of Large Submodules of QTAG-Modules." Journal of Mathematics 2017 (2017): 1–6. http://dx.doi.org/10.1155/2017/2496246.

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A module M over an associative ring R with unity is a QTAG-module if every finitely generated submodule of any homomorphic image of M is a direct sum of uniserial modules. The study of large submodules and its fascinating properties makes the theory of QTAG-modules more interesting. A fully invariant submodule L of M is large in M if L+B=M, for every basic submodule B of M. The impetus of these efforts lies in the fact that the rings are almost restriction-free. This motivates us to find the necessary and sufficient conditions for a submodule of a QTAG-module to be large and characterize them.

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29

Michels, Roger Nabeyama, Marcelo Giovanetti Canteri, Marcelo Augusto de Aguiar e. Silva, Estor Gnoatto, José Airton Azevedo dos Santos, and Manuel Messias Alvino de Jesus. "Yield from photovoltaic modules under real working situations in west Paraná - Brazil." Acta Scientiarum. Technology 37, no. 1 (2015): 19. http://dx.doi.org/10.4025/actascitechnol.v37i1.19191.

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30

Özen, Tahire. "M- $${\mathcal{A}}$$ A -Injective (Flat) and Strongly $${\mathcal{B}}$$ B -Injective (Flat) Modules." Mediterranean Journal of Mathematics 12, no. 2 (2014): 301–14. http://dx.doi.org/10.1007/s00009-014-0404-3.

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31

HOVEY, MARK, and JOHN H. PALMIERI. "Stably thick subcategories of modules over Hopf algebras." Mathematical Proceedings of the Cambridge Philosophical Society 130, no. 3 (2001): 441–74. http://dx.doi.org/10.1017/s0305004101005060.

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We discuss a general method for classifying certain subcategories of the category of finite-dimensional modules over a finite-dimensional co-commutative Hopf algebra B. Our method is based on that of Benson–Carlson–Rickard [BCR1], who classify such subcategories when B = kG, the group ring of a finite group G over an algebraically closed field k. We get a similar classification when B is a finite sub-Hopf algebra of the mod 2 Steenrod algebra, with scalars extended to the algebraic closure of F2. Along the way, we prove a Quillen stratification theorem for cohomological varieties of modules ov

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32

Durğun, Yılmaz. "Rings whose modules have maximal or minimal subprojectivity domain." Journal of Algebra and Its Applications 14, no. 06 (2015): 1550083. http://dx.doi.org/10.1142/s0219498815500838.

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Given modules M and N, M is said to be N-subprojective if for every epimorphism g : B → N and homomorphism f : M → N, there exists a homomorphism h : M → B such that gh = f. For a module M, the subprojectivity domain of M is defined to be the collection of all modules N such that M is N-subprojective. As an alternative perspective on the projectivity of a module, a module M is said to be p-indigent if its subprojectivity domain is smallest possible, namely, consisting of exactly the projective modules. Properties of subprojectivity domains and of p-indigent modules are studied. For various cla

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33

Laurent, Yves. "Polygône de Newton et $b$-fonctions pour les modules microdifférentiels." Annales scientifiques de l'École normale supérieure 20, no. 3 (1987): 391–441. http://dx.doi.org/10.24033/asens.1538.

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34

Fayers, Matthew. "Irreducible Specht modules for Iwahori–Hecke algebras of type $B$." Representation Theory of the American Mathematical Society 16, no. 3 (2012): 108–26. http://dx.doi.org/10.1090/s1088-4165-2012-00412-5.

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35

Su, YuCai, Ying Xu, and XiaoQing Yue. "Indecomposable modules of the intermediate series over W(a, b)." Science China Mathematics 57, no. 2 (2013): 275–91. http://dx.doi.org/10.1007/s11425-013-4630-0.

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36

Guo, Xiangqian, Mengjiao Wang, and Xuewen Liu. "U(h)-free modules over the Block algebra B(q)." Journal of Geometry and Physics 169 (November 2021): 104333. http://dx.doi.org/10.1016/j.geomphys.2021.104333.

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37

Prest, Mike. "Tensor product and theories of modules." Journal of Symbolic Logic 64, no. 2 (1999): 617–28. http://dx.doi.org/10.2307/2586487.

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Modules over a ring R, when tensored with an (R, S)-bimodule, are converted to S-modules. Here I consider, from the standpoint of the model theory of modules, the effect of this operation. The primary motivation arises from questions concerning representation type of algebras and interpretability of modules, where such tensor functors play a key role, but this paper is devoted to more general considerations. For instance, the elementary duality of [2] and [1] is generalised here. It is also shown that, although tensor product does not preserve elementary equivalence, one can define the tensor

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38

BERGMAN, GEORGE M. "BILINEAR MAPS ON ARTINIAN MODULES." Journal of Algebra and Its Applications 11, no. 05 (2012): 1250090. http://dx.doi.org/10.1142/s0219498812500909.

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It is shown that if a bilinear map f : A × B → C of modules over a commutative ring k is nondegenerate (i.e. if no nonzero element of A annihilates all of B, and vice versa), and A and B are Artinian, then A and B are of finite length. Some consequences are noted. Counterexamples are given to some attempts to generalize the above result to balanced bilinear maps of bimodules over noncommutative rings, while the question is raised whether other such generalizations are true.

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39

TRIBAK, RACHID. "ON δ-LOCAL MODULES AND AMPLY δ-SUPPLEMENTED MODULES". Journal of Algebra and Its Applications 12, № 02 (2012): 1250144. http://dx.doi.org/10.1142/s0219498812501447.

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The first part of this paper investigates the structure of δ-local modules. We prove that the following statements are equivalent for a module M: (i) M is δ-local; (ii) M is a coatomic module with either (a) M is a semisimple module having a maximal submodule N such that N is projective and M/N is singular, or (b) M has a unique essential maximal submodule K ≤ M such that for every maximal submodule L ≠ K, M/L is projective. The second part establishes some properties of finitely generated amply δ-supplemented modules.

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40

Chen, Qiufan, and Yan-an Cai. "Modules over algebras related to the Virasoro algebra." International Journal of Mathematics 26, no. 09 (2015): 1550070. http://dx.doi.org/10.1142/s0129167x15500706.

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In this paper, we consider a class of non-weight modules for some algebras related to the Virasoro algebra: The algebra Vir (a, b), the twisted deformative Schrödinger–Virasoro Lie algebras and the Schrödinger algebra. We study the modules whose restriction to the Cartan subalgebra (modulo center) are free of rank 1 for these algebras. Moreover, the simplicities of these modules are determined.

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41

Garcia-Pacheco, Francisco Javier. "Regularity in Topological Modules." Mathematics 8, no. 9 (2020): 1580. http://dx.doi.org/10.3390/math8091580.

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The framework of Functional Analysis is the theory of topological vector spaces over the real or complex field. The natural generalization of these objects are the topological modules over topological rings. Weakening the classical Functional Analysis results towards the scope of topological modules is a relatively new trend that has enriched the literature of Functional Analysis with deeper classical results as well as with pathological phenomena. Following this trend, it has been recently proved that every real or complex Hausdorff locally convex topological vector space with dimension great

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42

BIRKENMEIER, G. F., F. TAKIL MUTLU, C. NEBİYEV, N. SOKMEZ, and A. TERCAN. "GOLDIE-SUPPLEMENTED MODULES." Glasgow Mathematical Journal 52, A (2010): 41–52. http://dx.doi.org/10.1017/s0017089510000212.

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AbstractMotivated by a relation on submodules of a module used by both A. W. Goldie and P. F. Smith, we say submodules X, Y of M are β* equivalent, Xβ*Y, if and only if $\(\frac{X+Y}{X}\)$ is small in $\(\frac{M}{X}\)$ and $\(\frac{X+Y}{Y}\)$ is small in $\(\frac{M}{Y}\)$. We show that the β* relation is an equivalence relation and has good behaviour with respect to addition of submodules, homomorphisms and supplements. We apply these results to introduce the class of -supplemented modules and to investigate this class and the class of H-supplemented modules. These classes are located among va

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43

HOLSTON, CHRIS, SERGIO R. LÓPEZ-PERMOUTH, JOSEPH MASTROMATTEO, and JOSÉ E. SIMENTAL-RODRÍGUEZ. "AN ALTERNATIVE PERSPECTIVE ON PROJECTIVITY OF MODULES." Glasgow Mathematical Journal 57, no. 1 (2014): 83–99. http://dx.doi.org/10.1017/s0017089514000135.

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AbstractWe approach the analysis of the extent of the projectivity of modules from a fresh perspective as we introduce the notion of relative subprojectivity. A module M is said to be N-subprojective if for every epimorphism g : B → N and homomorphism f : M → N, there exists a homomorphism h : M → B such that gh = f. For a module M, the subprojectivity domain of M is defined to be the collection of all modules N such that M is N-subprojective. We consider, for every ring R, the subprojective profile of R, namely, the class of all subprojectivity domains for R modules. We show that the subproje

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44

Pan, Q. X., and L. Y. Zhang. "A Maschke-type theorem for weak (A, B)-Doi-Hopf modules." Mathematical Notes 89, no. 1-2 (2011): 98–105. http://dx.doi.org/10.1134/s000143461101010x.

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45

Jing, Naihuan, and Kailash C. Misra. "Vertex operators of level-one U q (B n (1) )-modules." Letters in Mathematical Physics 36, no. 2 (1996): 127–43. http://dx.doi.org/10.1007/bf00714376.

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46

Santana, A. P. "The Schur Algebra S(B+) and Projective Resolutions of Weyl Modules." Journal of Algebra 161, no. 2 (1993): 480–504. http://dx.doi.org/10.1006/jabr.1993.1231.

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47

Su, C. Joanna. "Some examples of nontrivial homotopy groups of modules." International Journal of Mathematics and Mathematical Sciences 27, no. 3 (2001): 189–95. http://dx.doi.org/10.1155/s0161171201005373.

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The concept of the homotopy theory of modules was discovered by Peter Hilton as a result of his trip in 1955 to Warsaw, Poland, to work with Karol Borsuk, and to Zurich, Switzerland, to work with Beno Eckmann. The idea was to produce an analog of homotopy theory in topology. Yet, unlike homotopy theory in topology, there are two homotopy theories of modules, the injective theory,π¯n(A,B), and the projective theory,π¯n(A,B). They are dual, but not isomorphic. In this paper, we deliver and carry out the precise calculation of the first known nontrivial examples of absolute homotopy groups of mod

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48

Ay Saylam, Basak, and Lee Klingler. "Locally isomorphic torsionless modules over domains of finite character." Journal of Algebra and Its Applications 18, no. 07 (2019): 1950138. http://dx.doi.org/10.1142/s021949881950138x.

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In a 2002 paper, P. Goeters and B. Olberding compare local, near, and stable isomorphisms of torsionless modules over [Formula: see text]-local domains. In this paper, we compare these weaker forms of isomorphisms of torsionless modules over domains of finite character.

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49

Zhao, Shuhuan, and Zheng-ping Hu. "Occluded Face Recognition Based on Double Layers Module Sparsity Difference." Advances in Electronics 2014 (August 18, 2014): 1–6. http://dx.doi.org/10.1155/2014/687827.

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Image recognition with occlusion is one of the popular problems in pattern recognition. This paper partitions the images into some modules in two layers and the sparsity difference is used to evaluate the occluded modules. The final identification is processed on the unoccluded modules by sparse representation. Firstly, we partition the images into four blocks and sparse representation is performed on each block, so the sparsity of each block can be obtained; secondly, each block is partitioned again into two modules. Sparsity of each small module is calculated as the first step. Finally, the

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50

Jones, Benjamin F., and Daniel K. Nakano. "ON THE SUPPORT VARIETIES FOR DEMAZURE MODULES." Journal of the Australian Mathematical Society 91, no. 3 (2011): 343–63. http://dx.doi.org/10.1017/s144678871100173x.

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AbstractThe support varieties for the induced modules or Weyl modules for a reductive algebraic group G were computed over the first Frobenius kernel G1 by Nakano, Parshall and Vella. A natural generalization of this computation is the calculation of the support varieties of Demazure modules over the first Frobenius kernel, B1, of the Borel subgroup B. In this paper we initiate the study of such computations. We complete the entire picture for reductive groups with underlying root systems A1 and A2. Moreover, we give complete answers for Demazure modules corresponding to a particular (standard

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