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STRONGLY IRREDUCIBLE SUBMODULES
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 Title & Authors
STRONGLY IRREDUCIBLE SUBMODULES
ATANI, SHAHABADDIN EBRAHIMI;
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 Abstract
This paper is motivated by the results in [6]. We study some properties of strongly irreducible submodules of a module. In fact, our objective is to investigate strongly irreducible modules and to examine in particular when sub modules of a module are strongly irreducible. For example, we show that prime submodules of a multiplication module are strongly irreducible, and a characterization is given of a multiplication module over a Noetherian ring which contain a non-prime strongly irreducible submodule.
 Keywords
strongly irreducible;multiplication;prime;
 Language
English
 Cited by
1.
Zariski Topologies for Coprime and Second Submodules, Algebra Colloquium, 2015, 22, 01, 47  crossref(new windwow)
2.
ON THE NOTION OF STRONG IRREDUCIBILITY AND ITS DUAL, Journal of Algebra and Its Applications, 2013, 12, 06, 1350012  crossref(new windwow)
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