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International Journal of Mathematics and Mathematical Sciences | Vol.2003, Issue.27 | 2017-05-30 | Pages
On the prime submodules of multiplication modules
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.
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On the prime submodules of multiplication modules
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.
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Reza Ameri,.On the prime submodules of multiplication modules. 2003 (27),.
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