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arXiv · 2211.15753

Prime groupoid graded rings with applications to partial skew groupoid rings

Paula S. E. Moreira·Johan Öinert
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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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Paula S. E. Moreira, Johan Öinert. 2022-11-28. Prime groupoid graded rings with applications to partial skew groupoid rings. https://arxiv.org/abs/2211.15753

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