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Naturally Ordered Abundant Semigroups in Which Each Idempotent Has a Greatest Inverse |
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| Authors: | Xiaojiang Guo Xiang-Yun Xie |
| Institution: | 1. Department of Mathematics , Jiangxi Normal University , Nanchang, Jiangxi, China xjguo@jxnu.edu.cn xjguo1967@sohu.com;3. Department of Mathematics and Physics , Wuyi University , Jiangmen, Guangdong, China |
| Abstract: | The aim of this article is to study naturally ordered abundant semigroups in which every idempotent has a greatest inverse. After obtaining some characterizations, their structure is established. |
| Keywords: | Abundant semigroup Greatest inverse Naturally ordered semigroup |