Zappa–Szép Groupoids of Inverse Semigroups and an Alternative Proof of Billhardt’s λ-Semidirect Products
The aim of this paper is to introduce and study Zappa-Szép groupoids of inverse semigroups. Some properties of such kinds of groupoids are explored. As an application, an alternative proof of Billhardt’s λ-semidirect products is given. We finish with several examples that highlight the versatility and applicability of Zappa-Szép groupoids in various types of inverse semigroups.
Authors
- Suha Wazzan (ORCID: https://orcid.org/0000-0002-3095-664X)
Institutions
- King Abdulaziz University (SA)
Publication Details
- Journal
- Mathematics
- Published
- 2025-03-28
- DOI
- https://doi.org/10.3390/math13071122
- Primary Topic
- semigroups and automata theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00