On primary multipliction modules

الملخص EN

Let R be a commutative ring with identity and M be a unitary R-module.

We shall say that M is a primary multiplication module if every primary sub module of M is a multiplication sub module of M.

Some of the properties of this concept will be investigated.

The main results of this paper are, for modules M and N, we have M N and Homer (M, N) are primary multiplications R-modules under certain assumptions.