Prime groupoid graded rings with applications to partial skew groupoid rings
Rings and Algebras
2022-12-22 v2 Operator Algebras
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.
Keywords
Cite
@article{arxiv.2211.15753,
title = {Prime groupoid graded rings with applications to partial skew groupoid rings},
author = {Paula S. E. Moreira and Johan Öinert},
journal= {arXiv preprint arXiv:2211.15753},
year = {2022}
}
Comments
20 pages. Improved version. Added references