Journals / Turkish Journal of Mathematics / 2011 / Cilt: 35 - Sayı: 2

On graded prime and primary submodules

Pages
159–167
DOI
—

Abstract

Let G be a multiplicative group. Let R be a G-graded commutative ring and M a G-graded R-module. Various properties of graded prime submodules and graded primary submodules of M are discussed. We have also discussed the graded radical of graded submodules of multiplication graded R-modules.

Özet

Let G be a multiplicative group. Let R be a G-graded commutative ring and M a G-graded R-module. Various properties of graded prime submodules and graded primary submodules of M are discussed. We have also discussed the graded radical of graded submodules of multiplication graded R-modules.

Keywords: Multiplication graded modules, graded prime submodules, graded primary submodules