On Weak Graded Rings II

Najla SH. Al-Subaie, Mohammed Mosa Al-shomrani

Abstract

The G-weak graded rings are rings graded by a set G of left coset representatives for the left action of a subgroup H of a finite group X. The main aim of this article is to study the concept of G-weak graded rings and continue the investigation of their properties. Moreover, some results concerning G-weak graded rings of fractions are derived. Finally, some additional examples of G-weak graded rings are provided.

Keywords

Weak graded rings; fully weak graded rings; left coset representatives; graded rings of fractions; homogeneous elements

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