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On S-primary submodules

2020/09/20 by Ansari-Toroghy, H., Pourmortazavi, S. S.
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2009.09507

Abstract

Let R be a commutative ring with identity, S a multiplicatively closed subset of R, and M be an R-module. In this paper, we study and investigate some properties of S-primary submodules of M. Among the other results, it is shown that this class of modules contains the family of primary (resp. S-prime) submodules properly.

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