On Beta-Prime Submodules

Thawatchai Khumprapussorn


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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DOI: https://doi.org/10.22342/jims.25.2.759.128-138


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Journal of the Indonesian Mathematical Society
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