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    On the (m, n)-jointly prime radical (R, S)-submodules
    In this paper, we present and discuss the notion of (m, n)-jointly prime (R, S)-submodules as a generalization of jointly prime (R, S)-submodules.
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    Item type:Publication,
    ON β-PRIME SUBMODULES
    We introduce the concepts of β-prime submodules and weakly β-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 β-prime submodules of a multiplication module. Characterization of β-prime and weakly β-prime submodules of arbitary modules are also given.