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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.
ACKNOWLEDGMENT
The authors would like to thank Professor D. Easdown for revising their English and making a number of editorial improvements to the article.
The work of the first author is jointly supported by the Natural Science Foundation of Jiangxi Province, the Science Foundation of the Education Department of Jiangxi Province and the Foundation of Jiangxi Normal University, China.
The work of the second author is supported by the Natural Science Foundation of China and the Natural Science Foundation of Guangdong Province, China.
Notes
Communicated by D. Easdown.