Let be a commutative ring with identity and let be an -module. A proper submodule of is called strongly prime submodule if for , implies that or . In this paper, we study more properties of strongly prime submodules. It is shown that a finitely generated -module is Artinian if and only if is Noetherian and every strongly prime submodule of is maximal. We also study the strongly dimension of a module which is defined to be the length of a longest chain of strongly prime submodules.
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