Semigroup of all orienation-preserving partial ingeatuie transformation on a finite path
GU Jiu-hua · Journal of Zhejiang Normal University · 2008
Let In be a symmetric inverse subsemigroup on the set Xn={1,2,3,…,n},and ρ={(1,2),(2,3),(3,4),…,(n-1,n)} a directed path.Let Iρ={α∈In:x,y∈dom α,(x,y)∈ρ■(xα,yα)∈ρ}∪{φ}.It was proved that Iρ was a type A subsemigroup of In,furthermore the Green *-relations of Iρ was investigated and the *-ideal of Iρ was obtained.