STRONGLY IRREDUCIBLE SUBMODULES

Title & Authors
STRONGLY IRREDUCIBLE SUBMODULES

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
2.
ON THE NOTION OF STRONG IRREDUCIBILITY AND ITS DUAL, Journal of Algebra and Its Applications, 2013, 12, 06, 1350012
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