Results 1 to 10 of about 49 (48)
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, A. V. Mikhalev
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Rings close to periodic with applications to matrix, endomorphism and group rings
Communications in Algebra, 2023 28 ...
Adel N. Abyzov +2 more
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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
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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 $T_n(R, )$ be the skew triangular matrix ring over a local ring $R$ where $ $ is an endomorphism of $R$. We show that $T_2(R, )$ is strongly clean if and only if for any $a\in 1+J(R), b\in J(R)$, $l_a-r_{ (b)}: R\to R$ is ...
Chen H., Kose H., Kurtulmaz, Y.
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Amitsur's theorem, semicentral idempotents, and additively idempotent semirings
Open MathematicsThe article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
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Endomorphism rings and formal matrix rings of pseudo-projective modules
FilomatA module M is called pseudo-projective if every epimorphism from M to each quotient module of M can be lifted to an endomorphism of M. In this paper, we study some properties of pseudo-projective modules and their endomorphism rings. It shows that if M is a self-cogenerator pseudo-projective module with finite hollow dimension, End(M) is a ...
Dao Trang, Banh Dung
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Orienteering with One Endomorphism. [PDF]
Mathematica (N Y), 2023 Arpin S +5 more
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Lattices in Tate modules. [PDF]
Proc Natl Acad Sci U S A, 2021 Poonen B, Rybakov S.
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Grassmannians and Cluster Structures. [PDF]
Bull Iran Math Soc, 2021 Baur K.
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White Box Implementations Using Non-Commutative Cryptography. [PDF]
Sensors (Basel), 2019 Marin L.
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