Cross-connection representation of regular semigroups
Abstract
Normal categories, their normal duals and the local isomorphisms that existed between these categories were introduced by K.S.S. Nambooripad in [4] in order to construct the cross-connection semigroup. In this paper we recall that the principal left and right ideals of a regular semigroups are normal categories and provides the construction of the cross-connection semigroup termed as the cross-connection representation of a regular semigroup.
- Published
- 18 July 2025
- Volume
- 2025 (2025)
- License
- CC BY 3.0
Copyright © 2025 P G Romeo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
P. G. Romeo, Cross-connection representation of regular semigroups, J. Semigroup Theory Appl. 2025 (2025), 2. https://doi.org/10.28919/jsta/9300
BibTeX
@article{Romeo2025,
author = {Romeo, P G},
title = {Cross-connection representation of regular semigroups},
journal = {J. Semigroup Theory Appl.},
volume = {2025},
year = {2025},
pages = {2},
doi = {10.28919/jsta/9300}
}