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Prime groupoid graded rings with applications to partial skew groupoid rings (2211.15753v2)
Published 28 Nov 2022 in math.RA and math.OA
Abstract: In this paper, we investigate primeness of groupoid graded rings. We provide a set of necessary and sufficient conditions for primeness of a nearly-epsilon strongly groupoid graded ring. Furthermore, we apply our main result to get a characterization of prime partial skew groupoid rings, and in particular of prime groupoid rings, thereby generalizing a classical result by Connell and partially generalizing recent results by Steinberg.
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