[HTML][HTML] Virtually uniserial modules and rings

M Behboodi, A Moradzadeh-Dehkordi, MQ Nejadi - Journal of Algebra, 2020 - Elsevier
We study the class of virtually uniserial modules and rings as a nontrivial generalization of
uniserial modules and rings. An R-module M is virtually uniserial if for every finitely …

[HTML][HTML] Connections between representation-finite and Köthe rings

Z Fazelpour, A Nasr-Isfahani - Journal of Algebra, 2018 - Elsevier
A ring R is called left k-cyclic if every left R-module is a direct sum of indecomposable
modules which are homomorphic image of R k R. In this paper, we give a characterization of …

A generalization of uniserial modules and rings

S Shirzadi, R Beyranvand… - arXiv preprint arXiv …, 2023 - arxiv.org
We introduce and study a nontrivial generalization of uniserial modules and rings. A module
is called weakly uniserial if its submodules are comparable regarding embedding. Also, a …

Cyclic-Uniform Uniserial Modules and Rings

R Nikandish, MJ Nikmehr, A Yassine - arXiv preprint arXiv:2208.07940, 2022 - arxiv.org
An $ R $-module $ M $ is called virtually uniserial if for every finitely generated submodule
$0\neq K\subseteq M $, $ K/$ Rad $(K) $ is virtually simple. In this paper, we generalize …

[HTML][HTML] Local rings whose modules are almost serial

M Behboodi, S Roointan-Isfahani - Journal of Pure and Applied Algebra, 2019 - Elsevier
The present paper is a sequel to our previous work on almost uniserial rings and modules,
which appeared in the Journal of Algebra in 2016; it studies rings over which every (left and …

[PDF][PDF] A class of almost uniserial rings

HR Dorbidi - Algebraic Structures and Their Applications, 2024 - sid.ir
An R− module M is called almost uniserial if any two non-isomorphic submodules of M are
comparable. A ring R is an almost left uniserial ring if RR is almost uniserial. In this paper …

[PDF][PDF] Some remarks on almost uniserial rings and modules

HR Dorbidi - Journal of Algebraic Systems, 2017 - jas.shahroodut.ac.ir
In this paper we study almost uniserial rings and modules. An R− module M is called almost
uniserial if any two nonisomorphic submodules are linearly ordered by inclusion. A ring R is …

Some remarks on Camillo-Krause conjecture

B Amirsardari - 대한수학회논문집, 2018 - dbpia.co.kr
Some remarks on Camillo-Krause conjecture - 대한수학회논문집 - 대한수학회 : 논문 - DBpia
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