Naturally Ordered Abundant Semigroups for which each Idempotent has a Greatest Inverse

Authors

  • Xiaojiang Guo Department of Mathematics, Jiangxi Normal University
  • K.P. Shum Institute of Mathematics, Yunnan University, Kunming

Abstract

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-regular and reflexive naturally ordered abundant semigroups each of whose idempotents has a greatest inverse are studied. In this paper, we give a construction theorem for such ordered semigroups. Our theorem extends a previous structure theorem on naturally ordered abundant semigroups of X.J. Guo and X.Y. Xie [13]. Some other results related to naturally ordered regular semigroups areamplified and strengthened.

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Published

2011-08-09

Issue

Vol. 4 No. 3: (July 2011)

Section

Algebra

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Naturally Ordered Abundant Semigroups for which each Idempotent has a Greatest Inverse. (2011). European Journal of Pure and Applied Mathematics, 4(3), 210-220. https://www.ejpam.com/index.php/ejpam/article/view/1240