On the prime submodules of multiplication modules

Reza Ameri

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-10

Abstract:

By considering the notion of multiplication modules over a commutative ring with identity, first we introduce the notion product of two submodules of such modules. Then we use this notion to characterize the prime submodules of a multiplication module. Finally, we state and prove a version of Nakayama lemma for multiplication modules and find some related basic results.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:496856

DOI: 10.1155/S0161171203202180

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