Abstract

Let be commutative rings with identity, and all modules are (left) unitary . of an G is called prime , if for any , for , , imples that either or .As strong from of prime sub modules we introduce in that paper the concept of Mine-Prime submodules and gave same basic properties , example and characterizations of this concept. Moreover we study be haver of Mine-Prime submodules in class of of multiplication modules, furthermore we prove that by examples the residual of Mine-Prime submodules not to be Mine-Prime ideal of so we gave under sertion conditions several characterizations of Mine-Prime submodules

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