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.