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- W2891830353 abstract "Let $G$ be a group and let $S=bigoplus_{g in G} S_g$ be a $G$-graded ring. Given a normal subgroup $N$ of $G$, there is a naturally induced $G/N$-grading of $S$. It is well-known that if $S$ is strongly $G$-graded, then the induced $G/N$-grading is strong for any $N$. The class of epsilon-strongly graded rings was recently introduced by Nystedt, Oinert and Pinedo as a generalization of unital strongly graded rings. We give an example of an epsilon-strongly graded partial skew group ring such that the induced quotient group grading is not epsilon-strong. Moreover, we give necessary and sufficient conditions for the induced $G/N$-grading of an epsilon-strongly $G$-graded ring to be epsilon-strong. Our method involves relating different types of rings equipped with local units (s-unital rings, rings with sets of local units, rings with enough idempotents) with generalized epsilon-strongly graded rings." @default.
- W2891830353 created "2018-09-27" @default.
- W2891830353 creator A5076377156 @default.
- W2891830353 date "2018-09-13" @default.
- W2891830353 modified "2023-09-27" @default.
- W2891830353 title "Induced quotient group gradings of epsilon-strongly graded rings." @default.
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