Primitive left ample semigroups

Xiaojiang Guo, Juanying Ding, Xiaoting He

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.

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Published: 2013-06-09

How to Cite this Article:

Xiaojiang Guo, Juanying Ding, Xiaoting He, Primitive left ample semigroups, J. Semigroup Theory Appl., 2013 (2013), Article ID 3

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.

Journal of Semigroup Theory and Applications

ISSN 2051-2937

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