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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How to Cite

Guo, X., & Shum, K. (2011). Naturally Ordered Abundant Semigroups for which each Idempotent has a Greatest Inverse. European Journal of Pure and Applied Mathematics, 4(3), 210–220. Retrieved from https://ejpam.com/index.php/ejpam/article/view/1240