The Rank of Semigroup of Injective E~*-Preserving Partial Transformations
Yunyun Qu · Journal of Southwest University · 2013
Let X be a finite set and E an equivalence relation on X,then IX is a symmetric inverse semigroup on X.Let IE*(X)={f∈IX:(x,y)∈E if and only if(f(x),f(y))∈E},then IE*(X) is an inverse subsemigroup of IX.The Green's relations and rank of IE*(X) are considered.