Maximal subsemigroups of the finite order-preserving transformation semigroups
MA Min-yao · Journal of Guizhou Normal University · 2006
Professor Yang has described some maximal subsemigroups of the finite order-preserving transformation semigroups.This paper describs four kinds of the maximal subsemigroups of O_n in general case.Firstly,the paper defines the four subsemigroups of O_n.Secondly,it proves that they are the subsemigroups of O_n.Thirdly,it gives some properties of this four subsemigroups.Fourthly,it proves that the four subsemigroups are the maximal subsemigroups of O_n.