半群ΟCΚ_n的极大子半群

The maximal subsemigroups of the semigroup OCK_n

设自然数n≥5,X_n={1,2,…,n}并赋予自然数序,O_n是X_n上的保序变换半群,OCK_n是由O_n中核具有连续横截面的元所构成的子半群,得到了OCK_n的极大子半群的结构与完全分类。

Suppose n ≥ 5,Xn= { 1,2,…,n},and it has the order of natural numbers,Onbe semigroup of order-preserving tranformation on Xn,OCKn be semigroup consisting of kernel with continuous transversal in On,the structure and classification of the maximal subsemigroups of semigroup OCKnis obtained.