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\(S\)-second submodules of a module

\(S\)-second submodules of a module

Let \(R\) be a commutative ring with identity and let \(M\) be an \(R\)-module. The main purpose of this paper is to introduce and study the notion of \(S\)-second submodules of an \(R\)-module \(M\) as a~generalization of second submodules of \(M\).

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Bibliographic Details
Main Author: Farshadifar, F.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2022
Subjects:
second submodule
\(S\)-second submodule
\(S\)-cotorsion-free module
simple module
13C13
13C05
13A15
16D60
13H15
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1437
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spelling oai:ojs.admjournal.luguniv.edu.ua:article-14372022-03-28T05:34:02Z \(S\)-second submodules of a module Farshadifar, F. second submodule, \(S\)-second submodule, \(S\)-cotorsion-free module, simple module 13C13, 13C05, 13A15, 16D60, 13H15 Let \(R\) be a commutative ring with identity and let \(M\) be an \(R\)-module. The main purpose of this paper is to introduce and study the notion of \(S\)-second submodules of an \(R\)-module \(M\) as a~generalization of second submodules of \(M\). Lugansk National Taras Shevchenko University 2022-03-28 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1437 10.12958/adm1437 Algebra and Discrete Mathematics; Vol 32, No 2 (2021) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1437/pdf Copyright (c) 2022 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
collection OJS
language English
topic second submodule
\(S\)-second submodule
\(S\)-cotorsion-free module
simple module
13C13
13C05
13A15
16D60
13H15
spellingShingle second submodule
\(S\)-second submodule
\(S\)-cotorsion-free module
simple module
13C13
13C05
13A15
16D60
13H15
Farshadifar, F.
\(S\)-second submodules of a module
topic_facet second submodule
\(S\)-second submodule
\(S\)-cotorsion-free module
simple module
13C13
13C05
13A15
16D60
13H15
format Article
author Farshadifar, F.
author_facet Farshadifar, F.
author_sort Farshadifar, F.
title \(S\)-second submodules of a module
title_short \(S\)-second submodules of a module
title_full \(S\)-second submodules of a module
title_fullStr \(S\)-second submodules of a module
title_full_unstemmed \(S\)-second submodules of a module
title_sort \(s\)-second submodules of a module
description Let \(R\) be a commutative ring with identity and let \(M\) be an \(R\)-module. The main purpose of this paper is to introduce and study the notion of \(S\)-second submodules of an \(R\)-module \(M\) as a~generalization of second submodules of \(M\).
publisher Lugansk National Taras Shevchenko University
publishDate 2022
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1437
work_keys_str_mv AT farshadifarf ssecondsubmodulesofamodule
first_indexed 2024-04-12T06:25:37Z
last_indexed 2024-04-12T06:25:37Z
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