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Algebra and Discrete Mathematics, 2021, Volume 32, Issue 2, Pages 197–210
DOI: https://doi.org/10.12958/adm1437 (Mi adm815) 		 
This article is cited in 3 scientific papers (total in 3 papers)

RESEARCH ARTICLE

$S$-second submodules of a module

F. Farshadifar

Department of Mathematics, Farhangian University, Tehran, Iran
Full-text PDF (368 kB) Citations (3)
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DOI: https://doi.org/10.12958/adm1437
Abstract: 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 $M$.
Keywords: second submodule, $S$-second submodule, $S$-cotorsion-free module, simple module.
Received: 15.08.2019
Revised: 25.01.2020
Document Type: Article
MSC: 13C13, 13C05, 13A15, 16D60, 13H15
Language: English
Citation: F. Farshadifar, “$S$-second submodules of a module”, Algebra Discrete Math., 32:2 (2021), 197–210
Citation in format AMSBIB
\Bibitem{Far21}
\by F.~Farshadifar
\paper $S$-second submodules of a~module
\jour Algebra Discrete Math.
\yr 2021
\vol 32
\issue 2
\pages 197--210
\mathnet{http://mi.mathnet.ru/adm815}
\crossref{https://doi.org/10.12958/adm1437}
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  • https://www.mathnet.ru/eng/adm/v32/i2/p197
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
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