On the Quasi-Endomorphism Rings of Quasi-Decomposable Torsion-Free Abelian Groups of Rank 4 with a Strongly Indecomposable Quasi-Summand of Rank 2
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DOI: 10.1007/s10958-018-3757-5
Abstract: We obtain a description of quasi-endomorphism rings of torsion-free Abelian groups G of rank 4 that are quasi-decomposable into a direct sum of groups A1 and A2 of rank 1 and a strongly indecomposable group… read more here.
Keywords: torsion free; endomorphism rings; groups rank; abelian groups ... See more keywords
On a category of chains of modules whose endomorphism rings have at most 2n maximal ideals
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DOI: 10.1080/00927872.2017.1372459
Abstract: ABSTRACT We describe the endomorphism rings in an additive category whose objects are right R-modules M with a fixed chain of submodules and the behavior of these objects as far as their direct sums are… read more here.
Keywords: category chains; endomorphism rings; endomorphism; modules whose ... See more keywords
Abelian Groups with Annihilator Ideals of Endomorphism Rings
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DOI: 10.1134/s0037446618020192
Abstract: We describe the periodic groups whose endomorphism rings satisfy the annihilator condition for the principal left ideals generated by nilpotent elements. We prove that torsion-free reduced separable, vector, and algebraically compact groups have endomorphism rings… read more here.
Keywords: annihilator; endomorphism rings; annihilator ideals; groups annihilator ... See more keywords
On Hermitian endomorphism rings
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DOI: 10.1142/s0219498817502206
Abstract: Let A be a right R-module with finite exchange property and let E be its endomorphism ring. In this paper, some sufficient and necessary conditions for E to be a Hermitian ring are given. Moreover,… read more here.
Keywords: endomorphism rings; endomorphism; hermitian endomorphism;
Modules Whose Endomorphism Rings Are (m, n)-Coherent
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DOI: 10.1142/s100538671900018x
Abstract: Let M be a right R-module with endomorphism ring S. We study the left (m, n)-coherence of S. It is shown that S is a left (m, n)-coherent ring if and only if the left… read more here.
Keywords: coherent; whose endomorphism; endomorphism rings; modules whose ... See more keywords
On endomorphism rings of Leavitt path algebras
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DOI: 10.2298/fil1804175o
Abstract: Let E be an arbitrary graph, K be any field and A be the endomorphism ring of L := LK(E) considered as a right L-module. Among the other results, we prove that: (1) if A… read more here.
Keywords: endomorphism rings; leavitt path; path algebras; rings leavitt ... See more keywords
On Pierce Problem for Reduced p-Groups
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DOI: 10.3103/s1066369x18100067
Abstract: One of the problems in the study of Abelian groups and their endomorphism rings is the problem of constructing an appropriate structural theory. The structural theorems obtained for Abelian groups and their endomorphism rings allowto… read more here.
Keywords: endomorphism rings; pierce problem; reduced groups; problem ... See more keywords