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- W3010926681 abstract "In this article, we introduce S-multiplication modules which are a generalization of multiplication modules. Let M be an R-module and S⊆R a multiplicatively closed subset. M is said to be an S-multiplication module if for each submodule N of M there exist s∈S and an ideal I of R such that sN⊆IM⊆N. Besides giving many properties of S-multiplication modules, we generalize some results on multiplication modules to S-multiplication modules. Also, we study S-prime submodules in S-multiplication modules. In particular, we generalize prime avoidance lemma for multiplication modules to S -multiplication modules. Furthermore, we characterize multiplication modules in terms of S-multiplication modules.Communicated by Toma Albu" @default.
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- W3010926681 date "2020-03-16" @default.
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- W3010926681 title "On <i>S</i>-multiplication modules" @default.
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- W3010926681 doi "https://doi.org/10.1080/00927872.2020.1737873" @default.
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