半群MC(n,r)的极大子半群

摘要

Suppose Xn={1,2,…,n},with the usual order of natural number sequence,MCn was the monotonic compression singular transformation semigroup on Xn.For any 3≤r≤n-1,we considered the semigroup MC(n,r)={α∈MCn: Imα ≤r},and obtained the complete classification of the maximal subsemigroups of the semigroup MC(n,r)on Xn.%设Xn={1,2,…,n}并赋予自然数序,MCn是X n上的单调压缩奇异变换半群.对任意3≤r≤n-1,考虑半群MC(n,r)={α∈MCn:I mα ≤r},得到了半群MC(n,r)的极大子半群的完全分类.