Results 1 to 10 of about 9,758 (67)
Matrix Representations of Endomorphism Rings for Torsion-Free Abelian Groups
Vestnik St Petersburg University: Mathematics, 2023 Non-isomorphic direct decompositions of torsion-free abelian groups are reflected in their endomorphism ring decompositions which admit matrix representations. The set of possible direct decompositions of a special kind matrix rings into direct sums of one-sided indecomposable ideals is described.
E A Blagoveshchenskaya
exaly +3 more sources
Rings close to periodic with applications to matrix, endomorphism and group rings
Communications in Algebra, 2023 28 ...
Adel N. Abyzov +2 more
openaire +3 more sources
An extension of the reflexive property of rings
Arab Journal of Mathematical Sciences, 2019 Mason introduced the notion of reflexive property of rings as a generalization of reduced rings. For a ring endomorphism α, Krempa studied α-rigid rings as an extension of reduced rings. In this note, we introduce the notion of α-quasi reflexive rings as
Arnab Bhattacharjee
doaj +1 more source
There is no analog of the transpose map for infinite matrices [PDF]
, 1997 In this note we show that there are no ring anti-isomorphism between row finite matrix rings. As a consequence we show that row finite and column finite matrix rings cannot be either isomorphic or Morita equivalent rings.
Simón, J. J.
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Universal deformation rings of modules for algebras of dihedral type of polynomial growth [PDF]
, 2012 Let k be an algebraically closed field, and let \Lambda\ be an algebra of dihedral type of polynomial growth as classified by Erdmann and Skowro\'{n}ski.
FM Bleher +12 more
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Universal deformation rings and tame blocks [PDF]
, 2013 Let k be an algebraically closed field of positive characteristic, and let W be the ring of infinite Witt vectors over k. Suppose G is a finite group and B is a block of kG of infinite tame representation type. We find all finitely generated kG-modules V
B. Schaefer +3 more
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Good tilting modules and recollements of derived module categories [PDF]
, 2010 Let $T$ be an infinitely generated tilting module of projective dimension at most one over an arbitrary associative ring $A$, and let $B$ be the endomorphism ring of $T$.
Chen, Hongxing, Xi, Changchang
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Strongly clean triangular matrix rings with endomorphisms
, 2013 A ring $R$ is strongly clean provided that every element in $R$ is the sum of an idempotent and a unit that commutate. Let $T_n(R,σ)$ be the skew triangular matrix ring over a local ring $R$ where $σ$ is an endomorphism of $R$. We show that $T_2(R,σ)$ is strongly clean if and only if for any $a\in 1+J(R), b\in J(R)$, $l_a-r_{σ(b)}: R\to R$ is ...
Chen H., Kose H., Kurtulmaz, Y.
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Derived $H$-module endomorphism rings [PDF]
, 2010 Let $H$ be a Hopf algebra, $A/B$ be an $H$-Galois extension. Let $D(A)$ and $D(B)$ be the derived categories of right $A$-modules and of right $B$-modules respectively.
He, Ji-Wei +2 more
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Isogeny graphs with maximal real multiplication [PDF]
, 2019 An isogeny graph is a graph whose vertices are principally polarized abelian varieties and whose edges are isogenies between these varieties. In his thesis, Kohel described the structure of isogeny graphs for elliptic curves and showed that one may ...
Ionica, Sorina, Thomé, Emmanuel
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