Green's Relations of Finite Singular Transformation Semigroup with Stable Subset
Taijie You · Guizhou kexue · 2009
Let Xn be finite set with n elements,Singn be semigroup consisting of all singular transformations on finite set Xn.Let S(Xn,A)={α∈singn∶x∈A,xα∈A},then S(Xn,A)is a semigroup of Singn.This paper describes the Green's relations,Green's star relations and some simple properties of S(Xn,A).