Globalization of Partial Actions of Ordered Groupoids on Rings
Abstract
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 equivalences) if and only if it is unital.
Fields of Study & Subjects
Rings
Modules
and Algebras
semigroups and automata theory
Advanced Topics in Algebra
Publication details
- Journal / source
- Bulletin of the Brazilian Mathematical Society New Series
- Volume
- 57
- Issue
- 1
- Publication date
- 7 February 2026
- Language
- EN