A Note on Maximal Properties of Some Subsemigroups of Finite Order-Preserving Transformation Semigroups |
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Authors: | Ping Zhao Bo Xu Mei Yang |
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Affiliation: | 1. Mathematics Teaching &2. Research Section , Guiyang Medical College , Guiyang , GuiZhou Province , China zhaoping731108@hotmail.com;4. School of Mathematics and Computer Sciences , Guizhou Normal University , Guiyang , GuiZhou Province , China;5. Department of Petroleum Engineering , Texas A&6. M University , College Station , Texas , USA |
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Abstract: | Both maximal idempotent-generated subsemigroups and maximal idempotent-generated regular subsemigroups of O n were studied by Yang [10 Yang , X. , Lu , C. ( 2000 ). Maximal properties of some subsemigroups in finite order-preserving transformation semigroups . Communications in Algebra 28 : 3125 – 3135 .[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]]. The purpose of this article is to simplify the results of Yang [10 Yang , X. , Lu , C. ( 2000 ). Maximal properties of some subsemigroups in finite order-preserving transformation semigroups . Communications in Algebra 28 : 3125 – 3135 .[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]]. |
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Keywords: | Idempotent-generated regular subsemigroups Idempotent-generated subsemigroups Order-preserving transformations |
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