Globalization of Partial Actions of Ordered Groupoids on Rings
Rings and Algebras
2025-01-03 v2
Abstract
We provide a necessary and sufficient condition to the existence of an ordered globalization of a partial ordered action of an ordered groupoid on a ring and we also present criteria to obtain uniqueness. Furthermore, we apply those results to obtain a Morita context and to show that an inverse semigroup partial action has a globalization (unique up to isomorphism) if, and only if, it is unital.
Keywords
Cite
@article{arxiv.2402.16758,
title = {Globalization of Partial Actions of Ordered Groupoids on Rings},
author = {Wesley G. Lautenschlaeger and Thaísa Tamusiunas},
journal= {arXiv preprint arXiv:2402.16758},
year = {2025}
}
Comments
18 pages