具有不变区的定点变换半群IS(X_n,A)

The Fixed Point Transformation Semigroup IS( X_n,A)on a Invariant Subset

设X_n={1,2,3,…,n}并赋予自然数的大小序,设AX_n且A=k,其中1≤k≤n-1.得到了IS(X_n,A)={α∈T_n:Aα=A且(X_n\A)α={a}?A}.研究该半群的Green关系及其一些性质.

Let X_n= { 1,2,3,…,n} give the order of natural numbers,and let subset A with A = kin which 1 ≤ k ≤ n- 1. Get IS( X_n,A) = { α ∈ T_n: Aα = A 且( X_n\ A) α = { a}?A}. The Green relationship between the semigroup and some of its properties was studied.