Primitive left ample semigroups
Abstract
A left adequate semigroup is called left ample if for any $e\in E(S), a\in S$, $ae=(ae)^\dag a$. Inverse semigroups are left ample semigroups. In this paper we study primitive left ample semigroups. The structure theorem of primitive left ample semigroups with certain conditions is established.
- Published
- 9 June 2013
- Volume
- 2013 (2013)
- License
- CC BY 3.0
Copyright © 2013 Xiaojiang Guo, Juanying Ding, Xiaoting He. 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
X. Guo, J. Ding, X. He, Primitive left ample semigroups, J. Semigroup Theory Appl. 2013 (2013), 3.
BibTeX
@article{Guo2013,
author = {Guo, Xiaojiang and Ding, Juanying and He, Xiaoting},
title = {Primitive left ample semigroups},
journal = {J. Semigroup Theory Appl.},
volume = {2013},
year = {2013},
pages = {3},
doi = {}
}