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Journal articles on the topic 'Bounded endomorphisms'

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Published: 2 June 2025
Last updated: 31 July 2025

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1

Ševčovič, Daniel. "Bounded endomorphisms of free P-algebras." Glasgow Mathematical Journal 34, no. 2 (1992): 209–14. http://dx.doi.org/10.1017/s0017089500008739.

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The present note deals with bounded endomorphisms of free p-algebras (pseudocomplemented lattices). The idea of bounded homomorphisms was introduced by R. McKenzie in [8]. T. Katriňák [5] subsequently studied the properties of bounded homomorphisms for the varieties of p-algebras. This concept is also an efficient tool for the characterization of, so-called, splitting as well as projective algebras in the varieties of all lattices or p-algebras. For details the reader is referred to [2], [5], [6], [7] and other references therein. Let us emphasize that the main results that are contained in th
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2

Feigelstock, Shalom. "Rings whose additive endomorphisms are N-multiplicative." Bulletin of the Australian Mathematical Society 39, no. 1 (1989): 11–14. http://dx.doi.org/10.1017/s0004972700027921.

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Sullivan's problem of describing rings, all of whose additive endomorphisms are multiplicative, is generalised to the study of rings R satisfying ϕ(a1 … an) = ϕ(a1)…ϕ(an) for every additive endomorphism ϕ of R, and all a1,…,an ∈ R, with n > 1 a fixed positive integer. It is shown that such rings possess a bounded (finite) ideal A such that [R/A]n = 0 ([R/A]2n−1 = 0). More generally, if f(X1, …, Xt) is a homogeneous polynomial with integer coefficients, of degree > 1, and if a ring R satisfies ϕ[f(a1, …, at)] = f[ϕ(a1), …, ϕ(at)] for all additive endomorphisms ϕ, and all a1, …, at ∈ R, th
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3

ABRUDAN, HOREA F. "Bounded topologies on endomorphism rings." Creative Mathematics and Informatics 20, no. 1 (2011): 1–3. http://dx.doi.org/10.37193/cmi.2011.01.06.

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We prove in this note that the ring of endomorphisms of an infinite bounded Abelian group admits a nondiscrete right bounded ring topology. We give an example of an Abelian group whose ring of endomorphisms admits both nondiscrete left and right bounded topologies but does not admit a nondiscrete bounded ring topology.
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4

Ghilardi, Silvio, and Luigi Santocanale. "Free Heyting algebra endomorphisms: Ruitenburg’s Theorem and beyond." Mathematical Structures in Computer Science 30, no. 6 (2020): 572–96. http://dx.doi.org/10.1017/s0960129519000203.

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AbstractRuitenburg’s Theorem says that every endomorphism f of a finitely generated free Heyting algebra is ultimately periodic if f fixes all the generators but one. More precisely, there is N ≥ 0 such that fN+2 = fN, thus the period equals 2. We give a semantic proof of this theorem, using duality techniques and bounded bisimulation ranks. By the same techniques, we tackle investigation of arbitrary endomorphisms of free algebras. We show that they are not, in general, ultimately periodic. Yet, when they are (e.g. in the case of locally finite subvarieties), the period can be explicitly boun
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5

Stout, Brian, and Adam Towsley. "Endomorphisms of bounded height and resultant." Journal of Number Theory 145 (December 2014): 426–32. http://dx.doi.org/10.1016/j.jnt.2014.06.006.

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6

ADAMS, M. E., and W. DZIOBIAK. "ENDOMORPHISMS OF DISTRIBUTIVE LATTICES WITH A QUANTIFIER." International Journal of Algebra and Computation 17, no. 07 (2007): 1349–76. http://dx.doi.org/10.1142/s0218196707004190.

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Let V be a non-trivial variety of bounded distributive lattices with a quantifier, as introduced by Cignoli in [7]. It is shown that if V does not contain the 4-element bounded Boolean lattice with a simple quantifier, then V contains non-isomorphic algebras with isomorphic endomorphism monoids, but there are always at most two such algebras. Further, it is shown that if V contains the 4-element bounded Boolean lattice with a simple quantifier, then it is finite-to-finite universal (in the categorical sense) and, as a consequence, for any monoid M, there exists a proper class of non-isomorphic
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7

Ardakov, Konstantin, and Oren Ben-Bassat. "Bounded linear endomorphisms of rigid analytic functions." Proceedings of the London Mathematical Society 117, no. 5 (2018): 881–900. http://dx.doi.org/10.1112/plms.12142.

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8

Branco, Mário J. J., Gracinda M. S. Gomes, and Pedro V. Silva. "Takahasi semigroups." Forum Mathematicum 29, no. 5 (2017): 1145–61. http://dx.doi.org/10.1515/forum-2015-0059.

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AbstractTakahasi’s Theorem on chains of subgroups of bounded rank in a free group is generalized to several classes of semigroups. As an application, it is proved that the subsemigroups of periodic points are finitely generated and periodic orbits are bounded for arbitrary endomorphisms for various semigroups. Some of these results feature classes such as completely simple semigroups, Clifford semigroups or monoids defined by balanced one-relator presentations.
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9

Stawiska, Małgorzata. "On regular polynomial endomorphisms of ℂ2 without bounded critical orbitswithout bounded critical orbits". Central European Journal of Mathematics 3, № 3 (2005): 398–403. http://dx.doi.org/10.2478/bf02475914.

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10

BARUGOLA, A., J. C. CATHALA, and C. MIRA. "EXTENSIONS OF THE NOTION OF CHAOTIC AREA IN SECOND-ORDER ENDOMORPHISMS." International Journal of Bifurcation and Chaos 05, no. 03 (1995): 751–77. http://dx.doi.org/10.1142/s0218127495000569.

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Properties of chaotic areas (i.e. invariant domains of points positively stable in the Poisson’s sense) of non-invertible maps of the plane are studied by using the method of critical curves (two-dimensional extension of the notion of critical points in the one-dimensional case). The classical situation is that of a chaotic area bounded by a finite number of critical curves segments. This paper considers another class of chaotic areas bounded by the union of critical curves segments and segments of the unstable manifold of a saddle fixed point, or that of saddle cycle (periodic point). Differe
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11

Shtern, A. I. "Continuity Criterion for Locally Bounded Endomorphisms of Connected Reductive Lie Groups." Russian Journal of Mathematical Physics 30, no. 1 (2023): 126–27. http://dx.doi.org/10.1134/s1061920823010090.

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12

Kudryavtseva, O. S. "Holomorphic endomorphisms of the unit disk with invariant diameter and bounded distortion." Russian Mathematics 59, no. 8 (2015): 41–51. http://dx.doi.org/10.3103/s1066369x15080058.

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13

Gaitán, Hernando. "Hilbert algebras with supremum generated by finite chains." Mathematica Slovaca 69, no. 4 (2019): 953–63. http://dx.doi.org/10.1515/ms-2017-0262.

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Abstract Based on the work of A. Monteiro, A. Torrens, and D. Buşneag, in this paper we point out that the dual space of Hilbert algebras with supremum generated by chains depends, modulo the dual space of a Hilbert algebra with supremum defined by S. Celani an D. Montangie, exclusively, on the order carried out by the topological space. We use such a characterization to prove that a bounded Hilbert algebra generated by chains is determined by the monoid of its endomorphisms.
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14

Kleiner, T., and R. Hilfer. "Convolution operators on weighted spaces of continuous functions and supremal convolution." Annali di Matematica Pura ed Applicata (1923 -) 199, no. 4 (2019): 1547–69. http://dx.doi.org/10.1007/s10231-019-00931-z.

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AbstractThe convolution of two weighted balls of measures is proved to be contained in a third weighted ball if and only if the supremal convolution of the corresponding two weights is less than or equal to the third weight. Here supremal convolution is introduced as a type of convolution in which integration is replaced with supremum formation. Invoking duality the equivalence implies a characterization of equicontinuity of weight-bounded sets of convolution operators having weighted spaces of continuous functions as domain and range. The overall result is a constructive method to define weig
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15

HAMANA, MASAMICHI. "MODULES OVER MONOTONE COMPLETE C*-ALGEBRAS." International Journal of Mathematics 03, no. 02 (1992): 185–204. http://dx.doi.org/10.1142/s0129167x92000059.

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The main result asserts that given two monotone complete C*-algebras A and B, B is faithfully represented as a monotone closed C*-subalgebra of the monotone complete C*-algebra End A(X) consisting of all bounded module endomorphisms of some self-dual Hilbert A-module X if and only if there are sufficiently many normal completely positive maps of B into A. The key to the proof is the fact that each pre-Hilbert A-module can be completed uniquely to a self-dual Hilbert A-module.
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16

Ingram, Patrick. "Rigidity and Height Bounds for Certain Post-critically Finite Endomorphisms of ℙN". Canadian Journal of Mathematics 68, № 3 (2016): 625–54. http://dx.doi.org/10.4153/cjm-2015-045-x.

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AbstractThe morphism f:ℙN→ℙN is called post–critically finite (PCF) if the forward image of the critical locus, under iteration of f, has algebraic support. In the case N = 1, a result of Thurston implies that there are no algebraic families of PCF morphisms, other than a well-understood exceptional class known as the flexible Lattés maps. A related arithmetic result states that the set of PCF morphisms corresponds to a set of bounded height in the moduli space of univariate rational functions. We prove corresponding results for a certain subclass of the regular polynomial endomorphisms of ℙN
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17

Feigelstock, Shalom. "Full subrings of E-rings." Bulletin of the Australian Mathematical Society 54, no. 2 (1996): 275–80. http://dx.doi.org/10.1017/s0004972700017731.

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A ring R is said to be an E-ring if the map R → of E (R)+ into the ring of endomorphisms of its additive group via a ↪ al = left multiplication by a, is an isomorphism. In this note torsion free rings R for which the group Rl, of left multiplication maps by elements of R, is a full subgroup of E(R)+ will be considered. These rings are called TE-rings. It will be shown that TE-rings satisfy many properties of E-rings, and that unital TE-rings are E-rings. If R is a TE-ring, then E(R+) is an E-ring, and E(R+)+ / is bounded. Some results concerning additive groups of TE-rings will be obtained.
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18

Mayghani, Maliheh, and Davood Alimohammadi. "Quasicompact and Riesz Composition Endomorphisms of Lipschitz Algebras of Complex-Valued Bounded Functions and Their Spectra." Bulletin of the Iranian Mathematical Society 44, no. 2 (2018): 531–58. http://dx.doi.org/10.1007/s41980-018-0021-1.

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19

Toumi, Mohamed Ali. "CONTINUOUS GENERALIZED (θ, ϕ)-SEPARATING DERIVATIONS ON ARCHIMEDEAN ALMOST f-ALGEBRAS". Asian-European Journal of Mathematics 05, № 03 (2012): 1250045. http://dx.doi.org/10.1142/s1793557112500453.

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Let A be an ℓ-algebra and let θ and ϕ be two endomorphisms of A. The couple (θ, ϕ) is called to be separating if xy = 0 implies θ(x)ϕ(y) = 0. If in addition θ and ϕ are ring endomorphisms of A, then the couple (θ, ϕ) is said to be ring-separating. An additive mapping δ : A → A is called (θ, ϕ)-separating derivation on A if there exists a (θ, ϕ)-separating couple with δ(xy) = δ(x)θ(y) + ϕ(x)δ(y), holds for all x, y ∈ A. If an addition θ, ϕ and δ are continuous, then δ is called a continuous (θ, ϕ)-ring-separating derivation. If in addition the couple (θ, ϕ) is ring-separating then δ is called a
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20

Morillas, Patricia. "Generalized inverses, ideals, and projectors in rings." Filomat 38, no. 19 (2024): 6715–41. https://doi.org/10.2298/fil2419715m.

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The theory of generalized inverses of matrices and operators is closely connected with projections, i.e., idempotent (bounded) linear transformations. We show that a similar situation occurs in any associative ring R with a unit 1?0. We prove that generalized inverses in R are related to idempotent group endomorphisms ?: R ? R, called projectors. We use these relations to give characterizations and existence conditions for {1}, {2}, and {1, 2}-inverses with any given principal/annihilator ideals. As a consequence, we obtain sufficient conditions for any right/left ideal of R to be a principal
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21

Mayghani, Maliheh, and Davood Alimohammadi. "Correction to: Quasicompact and Riesz Composition Endomorphisms of Lipschitz Algebras of Complex-Valued Bounded Functions and Their Spectra." Bulletin of the Iranian Mathematical Society 44, no. 2 (2018): 559. http://dx.doi.org/10.1007/s41980-018-0030-0.

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22

Popadiuk, Olha. "On endomorphisms of the inverse semigroup of convex order isomorphisms of a bounded rank which are generated by Rees congruences." Visnyk Lvivskogo Universytetu Seriya Mekhaniko-Matematychna 93 (2022): 34. http://dx.doi.org/10.30970/vmm.2022.93.034-041.

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23

HELLOUIN DE MENIBUS, B., V. SALO, and G. THEYSSIER. "Characterizing asymptotic randomization in abelian cellular automata." Ergodic Theory and Dynamical Systems 40, no. 4 (2018): 923–52. http://dx.doi.org/10.1017/etds.2018.75.

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Abelian cellular automata (CAs) are CAs which are group endomorphisms of the full group shift when endowing the alphabet with an abelian group structure. A CA randomizes an initial probability measure if its iterated images have weak*-convergence towards the uniform Bernoulli measure (the Haar measure in this setting). We are interested in structural phenomena, i.e., randomization for a wide class of initial measures (under some mixing hypotheses). First, we prove that an abelian CA randomizes in Cesàro mean if and only if it has no soliton, i.e., a non-zero finite configuration whose time evo
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24

HASSELBLATT, BORIS, and JAMES PROPP. "Degree-growth of monomial maps." Ergodic Theory and Dynamical Systems 27, no. 5 (2007): 1375–97. http://dx.doi.org/10.1017/s0143385707000168.

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AbstractFor projectivizations of rational maps, Bellon and Viallet defined the notion of algebraic entropy using the exponential growth rate of the degrees of iterates. We want to call this notion to the attention of dynamicists by computing algebraic entropy for certain rational maps of projective spaces (Theorem 6.2) and comparing it with topological entropy (Theorem 5.1). The particular rational maps we study are monomial maps (Definition 1.2), which are closely related to toral endomorphisms. Theorems 5.1 and 6.2 that imply that the algebraic entropy of a monomial map is always bounded abo
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25

MARION, JEAN. "ENERGY REPRESENTATIONS OF INFINITE DIMENSIONAL GAUGE GROUPS IN NONCOMMUTATIVE GEOMETRY." International Journal of Mathematics 05, no. 03 (1994): 329–48. http://dx.doi.org/10.1142/s0129167x9400019x.

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Let M be a compact smooth manifold, let [Formula: see text] be a unital involutive subalgebra of the von Neumann algebra £ (H) of bounded linear operators of some Hilbert space H, let [Formula: see text] be the unital involutive algebra [Formula: see text], let [Formula: see text] be an hermitian projective right [Formula: see text]-module of finite type, and let [Formula: see text] be the gauge group of unitary elements of the unital involutive algebra [Formula: see text] of right [Formula: see text]-linear endomorphisms of [Formula: see text]. We first prove that noncommutative geometry prov
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26

Miller, Chris. "Expansions of dense linear orders with the intermediate value property." Journal of Symbolic Logic 66, no. 4 (2001): 1783–90. http://dx.doi.org/10.2307/2694974.

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Let ℜ be an expansion of a dense linear order (R, <) without endpoints having the intermediate value property, that is, for all a, b ∈ R, every continuous (parametrically) definable function f: [a, b] → R takes on all values in R between f(a) and f(b). Every expansion of the real line (ℝ, <), as well as every o-minimal expansion of (R, <), has the intermediate value property. Conversely, some nice properties, often associated with expansions of (ℝ, <) or with o-minimal structures, hold for sets and functions definable in ℜ. For example, images of closed bounded definable sets under
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27

BREAZ, SIMION. "Finite torsion-free rank endomorphism rings." Carpathian Journal of Mathematics 31, no. 1 (2015): 39–43. http://dx.doi.org/10.37193/cjm.2015.01.04.

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28

Milatovic, Ognjen. "Onm-accretive Schrödinger-type operators with singular potentials on manifolds of bounded geometry." International Journal of Mathematics and Mathematical Sciences 2003, no. 38 (2003): 2415–23. http://dx.doi.org/10.1155/s0161171203209212.

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We consider a Schrödinger-type differential expression∇∗ ∇+V, where∇is aC∞-bounded Hermitian connection on a Hermitian vector bundleEof bounded geometry over a manifold of bounded geometry(M,g)with positiveC∞-bounded measuredμ, andVis a locally integrable linear bundle endomorphism. We define a realization of∇∗ ∇+VinL2(E)and give a sufficient condition for itsm-accretiveness. The proof essentially follows the scheme of T. Kato, but it requires the use of a more general version of Kato's inequality for Bochner Laplacian operator as well as a result on the positivity of solution to a certain dif
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29

Momeni, M., T. Yazdanpanah, and M. R. Mardanbeigi. "-Approximately Contractible Banach Algebras." Abstract and Applied Analysis 2012 (2012): 1–20. http://dx.doi.org/10.1155/2012/653140.

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We investigate -approximate contractibility and -approximate amenability of Banach algebras, which are extensions of usual notions of contractibility and amenability, respectively, where is a dense range or an idempotent bounded endomorphism of the corresponding Banach algebra.
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Pablos Romo, Fernando. "Generalized inverses of bounded finite potent operators on Hilbert spaces." Filomat 36, no. 18 (2022): 6139–58. http://dx.doi.org/10.2298/fil2218139p.

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The aim of this work is to prove the existence and uniqueness of the Drazin inverse and the DMP inverses of a bounded finite potent endomorphism. In particular, we give the main properties of these generalized inverses, we offer their relationships with the adjoint operator, we study their spectrum, we compute the respective traces and determinants and we relate the Drazin inverse of a bounded finite potent operator with classical definitions of this generalized inverse. Moreover, different properties of the Moore-Penrose inverse of a bounded operator are studied.
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31

Schulz, Rainer. "The endomorphism ring of a finite-length module." Bulletin of the Australian Mathematical Society 39, no. 1 (1989): 141–43. http://dx.doi.org/10.1017/s0004972700028045.

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Let M be an R-module of finite length. For a simple R-module A, let ℓA denote the nuber of times the isomorphism type of A appears in a composition chain of M, and let σ denote the maxinium of the ℓA, A ranging over all simple submodules of M. Let S be the endomorphism ring of M. We show that the Loewy length of S is bounded by σ.
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32

Byers, Bill. "A Note on Permutations and Topological Entropy of Continuous Maps of the Interval." Canadian Mathematical Bulletin 29, no. 1 (1986): 91–95. http://dx.doi.org/10.4153/cmb-1986-017-6.

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AbstractSuppose f is a continuous endomorphism of an interval which has a periodic orbit, p0 < P1 < … < pn, that defines a permutation a by f(pi) = pσ(i). If σ is irreducible the topological entropy of f is bounded below by the logarithm of the spectral radius of an n x n matrix which is induced by σ.
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33

ALBRECHT, ULRICH, SIMION BREAZ, and WILLIAM WICKLESS. "S*-GROUPS." Journal of Algebra and Its Applications 10, no. 02 (2011): 357–63. http://dx.doi.org/10.1142/s0219498811004732.

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The main result of this paper gives several characterizations for Abelian groups A to have the property that the class of A-adstatic modules is closed with respect to submodules of bounded index. Especially, a group has this property if and only if it is flat and faithful with respect to torsion when viewed as a left module over its endomorphism ring.
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34

Belegradek, Oleg. "Semi-bounded relations in ordered modules." Journal of Symbolic Logic 69, no. 2 (2004): 499–517. http://dx.doi.org/10.2178/jsl/1082418540.

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Abstract.A relation on a linearly ordered structure is called semi-bounded if it is definable in an expansion of the structure by bounded relations. We study ultimate behavior of semi-bounded relations in an ordered module M over an ordered commutative ring R such that M/rM is finite for all nonzero r ϵ R. We consider M as a structure in the language of ordered R-modules augmented by relation symbols for the submodules rM, and prove several quantifier elimination results for semi-bounded relations and functions in M. We show that these quantifier elimination results essentially characterize th
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35

IRVING, RONALD S. "ALGEBRAS WITH POLYNOMIALLY BOUNDED GROWTH AND ENDOMORPHIS1M RINGS OF SIMPLE MODULES." Quarterly Journal of Mathematics 36, no. 4 (1985): 435–50. http://dx.doi.org/10.1093/qmath/36.4.435.

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36

Boxall, John, and David Gruenewald. "Heuristics on pairing-friendly abelian varieties." LMS Journal of Computation and Mathematics 18, no. 1 (2015): 419–43. http://dx.doi.org/10.1112/s1461157015000091.

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We discuss heuristic asymptotic formulae for the number of isogeny classes of pairing-friendly abelian varieties of fixed dimension $g\geqslant 2$ over prime finite fields. In each formula, the embedding degree $k\geqslant 2$ is fixed and the rho-value is bounded above by a fixed real ${\it\rho}_{0}>1$. The first formula involves families of ordinary abelian varieties whose endomorphism ring contains an order in a fixed CM-field $K$ of degree $g$ and generalizes previous work of the first author when $g=1$. It suggests that, when ${\it\rho}_{0}<g$, there are only finitely many such isoge
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37

Orr, Martin. "On compatibility between isogenies and polarizations of abelian varieties." International Journal of Number Theory 13, no. 03 (2017): 673–704. http://dx.doi.org/10.1142/s1793042117500348.

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We discuss the notion of polarized isogenies of abelian varieties, that is, isogenies which are compatible with given principal polarizations. This is motivated by problems of unlikely intersections in Shimura varieties. Our aim is to show that certain questions about polarized isogenies can be reduced to questions about unpolarized isogenies or vice versa. Our main theorem concerns abelian varieties [Formula: see text] which are isogenous to a fixed abelian variety [Formula: see text]. It establishes the existence of a polarized isogeny [Formula: see text] whose degree is polynomially bounded
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38

Biasse, Jean-François, Claus Fieker, and Michael J. Jacobson. "Fast heuristic algorithms for computing relations in the class group of a quadratic order, with applications to isogeny evaluation." LMS Journal of Computation and Mathematics 19, A (2016): 371–90. http://dx.doi.org/10.1112/s1461157016000358.

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In this paper, we present novel algorithms for finding small relations and ideal factorizations in the ideal class group of an order in an imaginary quadratic field, where both the norms of the prime ideals and the size of the coefficients involved are bounded. We show how our methods can be used to improve the computation of large-degree isogenies and endomorphism rings of elliptic curves defined over finite fields. For these problems, we obtain improved heuristic complexity results in almost all cases and significantly improved performance in practice. The speed-up is especially high in situ
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IRVING, RONALD S. "CORRIGENDUM AND ADDENDUM TO ALGEBRAS WITH POLYNOMIALLY BOUNDED GROWTH AND ENDOMORPHISM RINGS OF SIMPLE MODULES." Quarterly Journal of Mathematics 38, no. 3 (1987): 381–83. http://dx.doi.org/10.1093/qmath/38.3.381.

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40

BORGES, INÊS, and CHRISTIAN LOMP. "IRREDUCIBLE ACTIONS AND COMPRESSIBLE MODULES." Journal of Algebra and Its Applications 10, no. 01 (2011): 101–17. http://dx.doi.org/10.1142/s0219498811004446.

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Any finite set of linear operators on an algebra A yields an operator algebra B and a module structure on A, whose endomorphism ring is isomorphic to a subring AB of certain invariant elements of A. We show that if A is a critically compressible left B-module, then the dimension of its self-injective hull  over the ring of fractions of AB is bounded by the uniform dimension of A and the number of linear operators generating B. This extends a known result on irreducible Hopf actions and applies in particular to weak Hopf action. Furthermore we prove necessary and sufficient conditions for an a
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FABER, XANDER, BENJAMIN HUTZ, and MICHAEL STOLL. "ON THE NUMBER OF RATIONAL ITERATED PREIMAGES OF THE ORIGIN UNDER QUADRATIC DYNAMICAL SYSTEMS." International Journal of Number Theory 07, no. 07 (2011): 1781–806. http://dx.doi.org/10.1142/s1793042111004162.

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For a quadratic endomorphism of the affine line defined over the rationals, we consider the problem of bounding the number of rational points that eventually land at the origin after iteration. In the article "Uniform bounds on pre-images under quadratic dynamical systems," by two of the present authors and five others, it was shown that the number of rational iterated preimages of the origin is bounded as one varies the morphism in a certain one-dimensional family. Subject to the validity of the Birch and Swinnerton-Dyer conjecture and some other related conjectures for the L-series of a spec
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42

Cruz, Tiago. "On Noetherian algebras, Schur functors and Hemmer–Nakano dimensions." Representation Theory of the American Mathematical Society 28, no. 6 (2024): 189–274. http://dx.doi.org/10.1090/ert/670.

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Important connections in representation theory arise from resolving a finite-dimensional algebra by an endomorphism algebra of a generator-cogenerator with finite global dimension; for instance, Auslander’s correspondence, classical Schur–Weyl duality and Soergel’s Struktursatz. Here, the module category of the resolution and the module category of the algebra being resolved are linked via an exact functor known as the Schur functor. In this paper, we investigate how to measure the quality of the connection between module categories of (projective) Noetherian algebras, B B , and module categor
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43

Bennett, Paul. "On the Structure of Inverse Semigroup Amalgams." International Journal of Algebra and Computation 07, no. 05 (1997): 577–604. http://dx.doi.org/10.1142/s0218196797000265.

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This paper is the second of two papers devoted to the study of amalgamated free products of inverse semigroups. We use the characterization of the Schützenberger automata given previously by the author to obtain structural results and preservational properties of lower bounded amalgams. Haataja, Margolis and Meakin have shown that if [S1,S2;U is an amalgam of regular semigroups in which S1∩ S2=U is a full regular subsemigroup of S1 and S2, then the maximal subgroups of the amalgamated free product S1*U S2 may be described by the fundamental groups of certain bipartite graphs of groups. In this
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44

Bell, Jason, Dragos Ghioca, and Rahim Moosa. "Effective Isotrivial Mordell-Lang in Positive Characteristic." American Journal of Mathematics 147, no. 2 (2025): 279–328. https://doi.org/10.1353/ajm.2025.a954644.

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abstract: The isotrivial Mordell-Lang theorem of Moosa and Scanlon (2004) describes the set $X\cap\Gamma$ when $X$ is a subvariety of a semiabelian variety $G$ over a finite field~$\Fq$ and $\Gamma$ is a finitely generated subgroup of $G$ that is invariant under the $q$-power Frobenius endomorphism $F$. That description is here made effective, and extended to arbitrary commutative algebraic groups~$G$ and arbitrary finitely generated $\zf$-submodules $\Gamma$. The approach is to use finite automata to give a concrete description of $X\cap\Gamma$. These methods and results have new applications
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45

Bodzenta, Agnieszka, and Alexey Bondal. "Flops and spherical functors." Compositio Mathematica 158, no. 5 (2022): 1125–87. http://dx.doi.org/10.1112/s0010437x22007497.

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We study derived categories of Gorenstein varieties $X$ and $X^+$ connected by a flop. We assume that the flopping contractions $f\colon X\to Y$ , $f^+ \colon X^+ \to Y$ have fibers of dimension bounded by one and $Y$ has canonical hypersurface singularities of multiplicity two. We consider the fiber product $W=X\times _YX^+$ with projections $p\colon W\to X$ , $p^+\colon W\to X^+$ and prove that the flop functors $F = Rp^+_*Lp^* \colon {\mathcal {D}}^b(X) \to {\mathcal {D}}^b(X^+)$ , $F^+= Rp_*L{p^+}^* \colon {\mathcal {D}}^b(X^+) \to {\mathcal {D}}^b(X)$ are equivalences, inverse to those co
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46

Pablos Romo, Fernando. "On Bounded Finite Potent Operators on Arbitrary Hilbert Spaces." Bulletin of the Malaysian Mathematical Sciences Society, June 24, 2021. http://dx.doi.org/10.1007/s40840-021-01156-1.

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AbstractThe aim of this work is to study the structure of bounded finite potent endomorphisms on Hilbert spaces. In particular, for these operators, an answer to the Invariant Subspace Problem is given and the main properties of its adjoint operator are offered. Moreover, for every bounded finite potent endomorphism we show that Tate’s trace coincides with the Leray trace and with the trace defined by R. Elliott for Riesz Trace Class operators.
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47

Kwaśniewski, B. K. "Crossed Product of a C*-Algebra by a Semigroup of Interactions." Demonstratio Mathematica 47, no. 2 (2014). http://dx.doi.org/10.2478/dema-2014-0028.

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AbstractThe paper presents a construction of the crossed product of a C*-algebra by a commutative semigroup of bounded positive linear maps generated by partial isometries. In particular, it generalizes Antonevich, Bakhtin, Lebedev’s crossed product by an endomorphism, and is related to Exel’s interactions. One of the main goals is the Isomorphism Theorem established in the case of actions by endomorphisms.
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48

Pablos Romo, Fernando. "Drazin-Star and Star-Drazin Inverses of Bounded Finite Potent Operators on Hilbert Spaces." Results in Mathematics 77, no. 1 (2021). http://dx.doi.org/10.1007/s00025-021-01540-0.

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AbstractThe aim of this work is to extend to bounded finite potent endomorphisms on arbitrary Hilbert spaces the notions of the Drazin-Star and the Star-Drazin of matrices that have been recently introduced by D. Mosić. The existence, structure and main properties of these operators are given. In particular, we obtain new properties of the Drazin-Star and the Star-Drazin of a finite complex matrix. Moreover, the explicit solutions of some infinite linear systems on Hilbert spaces from the Drazin-Star inverse of a bounded finite potent endomorphism are studied.
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49

Lamb, Jeroen S. W., Giuseppe Tenaglia, and Dmitry Turaev. "Horseshoes for a Class of Nonuniformly Expanding Random Circle Maps." Annales Henri Poincaré, March 5, 2025. https://doi.org/10.1007/s00023-025-01555-1.

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Abstract We propose a notion of random horseshoe for one-dimensional random dynamical systems with non-uniform expansion, and we provide sufficient conditions that guarantee their abundant existence, which is shown to hold for a class of non-uniformly expanding random circle endomorphisms with bounded additive noise.
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50

Carvalho, André. "Eventually fixed points of endomorphisms of virtually free groups." Quarterly Journal of Mathematics, June 12, 2024. http://dx.doi.org/10.1093/qmath/haae032.

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ABSTRACT We consider the subgroup of points of finite orbit through the action of an endomorphism of a finitely generated virtually free group, with particular emphasis on the subgroup of eventually fixed points, $\text{EvFix}(\varphi)$: points whose orbit contains a fixed point. We provide an algorithm to compute the subgroup of fixed points of an endomorphism of a finitely generated virtually free group and prove that finite orbits have cardinality bounded by a computable constant, which allows us to solve several algorithmic problems: deciding if φ is a finite order element of $\text{End}(G
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