On graded prime and primary submodules

Authors: KÜRŞAT HAKAN ORAL, ÜNSAL TEKİR, AHMET GÖKSEL AĞARGÜN

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.

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

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