Naturally Ordered Abundant Semigroups for which each Idempotent has a Greatest Inverse
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.Downloads
Published
2011-08-09
Issue
Section
Algebra
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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://ejpam.com/index.php/ejpam/article/view/1240