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On Associated and Supported PrimesKeywords: Associated prime submodule , Multiplication module , Weakly finitely generated module , Prime submodule , Support of a module , Radical of a submodule. Abstract: Let $R$ be a commutative ring with identity and $M$ be a unitary $R$-module. The notions of associated and supported prime submodules of a module are defined. Our aim is to extend the results concerning associated and supported prime ideals of a module to associated and supported prime submodules of a module and find new properties when the modules are multiplication, have finite length, are finitely generated or weakly finitely generated.
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