Title of article
On Associated and Supported Primes
Author/Authors
Tavallaee, H. A. islamic azad university - Department of Mathematics, تهران, ايران
From page
49
To page
66
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
Record number
2568865
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