Strongly essentially quasi-dedekind modules

الملخص EN

Let R be a commutative ring with unity.

In this paper we introduce and study the concept of strongly essentially quasi-Dedekind module as a generalization of essentially quasi-Dedekind module.

A unitary R-module M is called a strongly essentially quasi-Dedekind module if Home (M N, M) for all semi essential sub modules N of M.

Where a sub module N of an R-module M is called semi essential if, N p 0 for all nonzero prime sub modules P of M.