Augmented Noetherian Graded Modules

Authors: MASHHOOR REFAİ

Abstract: Let $G$ be a multiplicative group with identity $e$, and let $R$ be an associative $G$-graded ring with unity 1. In this paper we study the augmented graded Noetherian modules and try to give some relationships between the Noetherian modules in the category $R-Agr$ and the Noetherian modules in the category $R_e-gr$.

Keywords: Graded Noetherian modules, graded rings, Augmented graded modules.

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