Augmented Noetherian Graded Modules

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 Re-gr.

Augmented Noetherian Graded Modules

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 Re-gr.