On Associated and Supported Primes

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.