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A Note on Maximal Properties of Some Subsemigroups of Finite Order-Preserving Transformation Semigroups
Authors:Ping Zhao  Bo Xu  Mei Yang
Institution: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
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 : 31253135 .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 : 31253135 .Taylor &; Francis Online], Web of Science ®] Google Scholar]].
Keywords:Idempotent-generated regular subsemigroups  Idempotent-generated subsemigroups  Order-preserving transformations
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