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- W2965177512 abstract "Let [Formula: see text] be a group and let [Formula: see text] be a [Formula: see text]-graded ring. Given a normal subgroup [Formula: see text] of [Formula: see text], there is a naturally induced [Formula: see text]-grading of [Formula: see text]. It is well known that if [Formula: see text] is strongly [Formula: see text]-graded, then the induced [Formula: see text]-grading is strong for any [Formula: see text]. The class of epsilon-strongly graded rings was recently introduced by Nystedt et al. 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 [Formula: see text]-grading of an epsilon-strongly [Formula: see text]-graded ring to be epsilon-strong. Our method involves relating different types of rings equipped with local units ([Formula: see text]-unital rings, rings with sets of local units, rings with enough idempotents) with generalized epsilon-strongly graded rings." @default.
- W2965177512 created "2019-08-13" @default.
- W2965177512 creator A5076377156 @default.
- W2965177512 date "2019-08-23" @default.
- W2965177512 modified "2023-09-24" @default.
- W2965177512 title "Induced quotient group gradings of epsilon-strongly graded rings" @default.
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- W2965177512 doi "https://doi.org/10.1142/s0219498820501625" @default.
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