Chiang Mai Journal of Science

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Let R be a commutative ring with identity 1. We say that M is a multiplication R-module if each submodule N of M has the form MI for some ideal I of R. In this paper, we give some characteriza-tions of co-semisimple modules, and look at some ring theoretic and module theoretic properties and try to see how they transfer between R, S and M in case M is a multiplication module and S is the ring of endomorphisms of M.

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