%0 Journal Article
%T On Associated and Supported Primes
%A H.A. Tavallaee
%J Mathematical Sciences Quarterly Journal
%D 2010
%I Springer
%X 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.
%K Associated prime submodule
%K Multiplication module
%K Weakly finitely generated module
%K Prime submodule
%K Support of a module
%K Radical of a submodule.
%U http://mathscience.kiau.ac.ir/Content/Vol4No1/5.pdf