A Type A Subsemigroup of Finite Symmetric Inverse Semigroup
GU Jiu-hua · 2008
Let In be the symmetric inverse subsemigroup on the set Xn={1,2,…,n},and let σ■Xn×Xn and σ={(n,n —1),…,(3,2),(2,1)}.Let Iσ={α∈In:x,y∈dom α,(x,y)∈σ■(xα,yα)∈σ}∪{(φ)}.In this paper we obtain that Iσ is a type A subsemigroup of In,and inverstigate the Green's* relations of Iσ.