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A classification of maximal subsemigroups of finite order-preserving transformation semigroups
Authors:Yang Xiuliang
Institution:Department of Mathematics , Guizhou Normal University , Guiyang City, Guizhov Province, China
Abstract:We describe the maximal subsemigroups of the semigroup of all order-preserving transformations of a finite chain and completely obtain their classification. We also count the number of its maximal subsemigroups.
Keywords:finite transformation semigroup  finite order-preserving transformation  maximal subsemigroup
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