Reza Ameri, "On the prime submodules of multiplication modules", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 496856, 10 pages, 2003. https://doi.org/10.1155/S0161171203202180
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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