设Xn={1,2,…,n},Q(Xn)={A1,A2,…,Ar}为Xn上任意一个划分,令OCT(Xn)={α∈On:Ai,Aj∈Xn,d(Aiα,Ajα)≤d(Ai,Aj)},则OCT(Xn)是一个半群。本文刻划了该半群的Green关系及一些相关的性质。%Let "X n"be finite set with "n" elements,and Q(Xn)={A1,A2,…,Ar}be an arbitrary partition of "Xn".And let OCT(Xn)={α∈On:Ai,Aj∈Xn,d(Ai,α,Ajα)≤d(Ai,Aj)},then OCT(Xn)is a semigroup.This paper describes the Green' s Relations of OCT(X n)and some related properties.
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