On Adequate Transversals |
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| Authors: | Jehan Al-Bar |
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| Institution: | School of Mathematics, University of Southampton , Southampton , England , UK |
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| Abstract: | We consider adequate transversals of abundant semigroups and prove that, in a particular case, there is a natural embedding of an inverse transversal within a certain regular subsemigroup. We also introduce the concepts of simplistic, perfect, and quasi-adequate transversal and provide a number of interesting connections between these. |
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| Keywords: | Abundant semigroup Adequate semigroup Adequate transversal Perfect Quasi-adequate Simplistics |
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