逆半群CkIn的秩

On the Rank of the Inverse Semigroup CkIn

设自然数n>3,SIn与Ck分别是有限链[n]上的部分一一奇异变换半群和k-局部循环群.考虑变换半群“CkIn=Ck∪SIn的秩,证明了当k=1或2<k<n-2时秩为n-k+3,当k=2,n-2,n-1时秩为n-k+2.

Let the natural number n>3,SIn and Ck are partial one-to-one singular transformation Semigroup on a finite chain[n]and k-locally cyclic group,respectively.The rank of transformation semigroup CkIn=Ck ∪ SIn is considered.The rank is n-k+3 if k=1 or2<k<n-2,and is n-k+2if k=2,n-2,n-1,be proved.