Abundant Left C-lpp Proper Semigroups |
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Authors: | Xiaojiang Guo |
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Institution: | (1) Department of Mathematics, Yunnan University, Kunming, Yunnan, 650091, China |
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Abstract: | The aim of this paper is to study a class of left abundant semigroups, so-called abundant left C-lpp proper semigroups including left type A proper semigroups and right inverse proper semigroups as its subclasses. A structure theorem similar to McAlister s for inverse proper semigroups is obtained. As its application, it is verified that any abundant left C-lpp proper semigroup can be embedded into a semidirect product of a left regular band by a cancellative monoid.AMS Subject Classification (1991): 20M10Suppoted by the Foundation of Yunnan University and also by the Director Foundation of Yunnan Province. |
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Keywords: | abundant semigroup abundant left C-lpp proper semigroup cancellation monoid left regular band |
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