对称逆半群的群元的中心化子

Centralizers of Group Element on the Symmetric Inverse Semigroup

设Cn为Xn={1,2,…,n}上的对称逆半群,且δ∈Cn,该文得到δ的中心化子C()δ={α∈Cn|δα=αδ}为逆半群的充要条件.特别还给出C(δ)为Clifford半群的特征.

Let Cn be the symmetric inverse semigroup on the finite set Xn = { 1,2,…, n}, and δ an element of Cn, the paper obtains the sufficient condition that C（δ）= {α∈Cn｜δα=αδ} be an inverse subsemigroup. The paper also describes the characters for C（δ） to be a Clifford semigroup.