On Strongly Semiprime Modules and Submodules Submodules

Hai Q. Dinh, Nguyen Trong Bac, Nico Johannes Groenewald, Dong Thi Hong Ngoc


We provide the notion of strongly semiprime submodules of a given right $R$-module $M$ and describe properties of them as a generalization of completely semiprime ideals in associative rings. We show that a proper fully invariant submodule of $M$ is strongly prime if and only if it is prime andstrongly semiprime.

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|ISSN 1686-0209|