Title of article :
On Associated and Supported Primes
Author/Authors :
Tavallaee, H. A. islamic azad university - Department of Mathematics, تهران, ايران
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.
Keywords :
Associated prime submodule , Multiplication module , Weakly finitely generated module , Prime submodule , Support of a module , Radical of a submodule
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences
