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Abundant semigroups with a *-normal idempotent

  • Yonglin Hou EMAIL logo , Junying Guo and Xiaojiang Guo
Published/Copyright: July 14, 2017
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Abstract

The notion of *-normal idempotents is introduced. The structure theorem for abundant semigroups with a *-normal idempotent is obtained. As its applications, we establish the construction theorem of naturally ordered abundant semigroups with a greatest idempotent.


(Communicated by Miroslav Ploščica)

This research is jointly supported by the National Natural Science Foundation of China (grant: 11361027, 11661042); the Natural Science Foundation of Jiangxi Province and the Science Foundation of the Education Department of Jiangxi Province, China.

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Received: 2015-4-17
Accepted: 2016-4-27
Published Online: 2017-7-14
Published in Print: 2017-8-28

© 2017 Mathematical Institute Slovak Academy of Sciences

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