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Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2017 The article deals with the properties of fixed and residual endomorphism submodules of modules over arbitrary associative rings with 1. It is shown how they can be used to represent formal matrices images of group homomorphisms generated by elementary ...
В. М. Петерчук +1 more
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Ring of Endomorphisms and Modules over a Ring
Formalized Mathematics, 2022 Summary We formalize in the Mizar system [3], [4] some basic properties on left module over a ring such as constructing a module via a ring of endomorphism of an abelian group and the set of all homomorphisms of modules form a module [1] along with Ch. 2 set. 1 of [2].
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Constructing Homomorphism Spaces and Endomorphism Rings [PDF]
, 2001 We present a new deterministic algorithm for constructing homomorphism spaces and endomorphism rings of finite-dimensional modules. The modules are given via vertex projective presentations over path algebras and finite-dimensional quotients of path ...
Craig A. Struble +5 more
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Some annihilator ideals in skew Hurwitz series rings [PDF]
Mathematica BohemicaA ring $R$ has right (left) property (A) if for every finitely generated two-sided ideal $I\subseteq Z_l(R)$ $(I\subseteq Z_r(R))$, there exists nonzero $u\in R$ $(v\in R)$ such that $Iu=0$ $(vI=0)$. In this article, we establish a relationship between a
Amit B. Singh, Deepa Arora
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On commutative endomorphism rings [PDF]
Pacific Journal of Mathematics, 1970 This note deals with a finitely generated faithful module E over a commutative semi-prime noetherian ring R, with commutative endomorphism ring HomJ2(Er, E) = Ω(E). It is shown that E is identifiable to an ideal of R whenever Ω(E) lacks nilpotent elements; a class of examples with Ω(E) commutative but not semi-prime is discussed.
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On Group Codes Over Elementary Abelian Groups
Sultan Qaboos University Journal for Science, 2003 For group codes over elementary Abelian groups we present definitions of the generator and the parity check matrices, which are matrices over the ring of endomorphism of the group.
Adnan A. Zain
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Computing global dimension of endomorphism rings via ladders [PDF]
, 2016 This paper deals with computing the global dimension of endomorphism rings of maximal Cohen–Macaulay (=MCM) modules over commutative rings. Several examples are computed.
Faber, E, Ingalls, C, Doherty, B
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Gorenstein Endomorphism Rings on Curve Singularities [PDF]
, 2022 We characterize the Gorensteinness of endomorphism rings of a fractional ideal on a curve singularity by stability of the ideal and a condition on its value semigroup ideal.
Korell, Philipp
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Nilpotent Elements in Skew Polynomial Rings [PDF]
Journal of Sciences, Islamic Republic of Iran, 2017 Letbe a ring with an endomorphism and an -derivationAntoine studied the structure of the set of nilpotent elements in Armendariz rings and introduced nil-Armendariz rings.
M. Azimi, A. Moussavi
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Trace Ideals, Normalization Chains, and Endomorphism Rings [PDF]
, 2020 In this paper we consider reduced (non-normal) commutative noetherian rings R.With the help of conductor ideals and trace ideals of certain R-modules we deduce a criterion for a reflexive R-module to be closed under multiplication with scalars in an ...
Faber, E
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