Maximal 0-E-unitary Subsemigroup Of Principal Factor Of Certain Transformtion Semigroups

Let Xn = {1,2,…,n} odered in the standard way,Tn be its full transformation semigroup,POn,On be the respectively partial order-preserving transformation semi-group and oder-preserving transformation semigroups on Xn.This paper described the On,Tn principal factors on the maximal idempotent subsemigroup,maximal 0-E-unitary subsemigroup.At the same time try to research the maximal idempotent POn princi-pal factors idempotent semigroup and its maximal 0-E-unitary semigroups.Based on the maximal idempotent POn principal factor idempotent semigroup of the complexity of the classification,this paper got some of its maximal idempotent subsemigroup,part of the maximal 0-E-unitary semigroup.It is divided into the following four parts:Chapter 1 this chapter mainly introduces the research background at home and abroad and gives some necessary theoretical knowledge about transformation semigroup.Chapter 2 mainly study the Tn principal factor of maximal 0-E-unitary semigroup,got Tn principal factor of maximal 0-E-unitary fully describe subsemigroup.Chapter 3 mainly study the(On principal factor of maximal 0-E-unitary semigroup,got On principal factor of maximal 0-E-unitary fully describe subsemigroup.Chapter 2 mainly study the POn principal factor of great 0-E-unitary semigroup,got POn principal factor of maximal 0-E-unitary partially describe subsemigroup.