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On Beta-Prime Submodules
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We introduce the concepts of $\beta$-prime submodules and weakly $\beta$-prime submodules of unital left modules over a commutative ring with nonzero identity. Some properties of these concepts are investigated. We use the notion of the product of two submodules to characterize $\beta$-prime submodules of a multiplication module. Characterization of $\beta$-prime and weakly $\beta$-prime submodules of arbitary modules are also given.
Indonesian Mathematical Society
Title: On Beta-Prime Submodules
Description:
We introduce the concepts of $\beta$-prime submodules and weakly $\beta$-prime submodules of unital left modules over a commutative ring with nonzero identity.
Some properties of these concepts are investigated.
We use the notion of the product of two submodules to characterize $\beta$-prime submodules of a multiplication module.
Characterization of $\beta$-prime and weakly $\beta$-prime submodules of arbitary modules are also given.
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