Graded von Neumann regularity of rings graded by semigroups
Daniel L\"annstr\"om, Johan \"Oinert
TL;DR
This paper characterizes when rings graded by semigroups are graded von Neumann regular, providing a comprehensive framework and applying it to examples like matrix and groupoid graded rings.
Contribution
It offers a complete characterization of semigroup graded rings that are graded von Neumann regular, advancing understanding in ring theory.
Findings
Characterization of semigroup graded rings that are graded von Neumann regular
Application of results to matrix rings and groupoid graded rings
Development of a unifying framework for graded von Neumann regularity
Abstract
In this article, we give a complete characterization of semigroup graded rings which are graded von Neumann regular. We also demonstrate our results by applying them to several classes of examples, including matrix rings and groupoid graded rings.
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