核具有连续横截面的保序部分变换半群的秩

On the rank of the order-preserving partial transformations semigroups which kernel with continuous transversal

设自然数n≥5,Xn={1,2,…,n},POn是Xn上的保序部分变换半群,POCKn是POn中核具有连续横截面的元所构成的子半群,我们得到POCKn的秩为3n-5。

Let POn be the semigroup of all the order-preserving partial transforma-tions on Xn 1,2 ,..., n } for n ≥5 . Let POCKn be subsemigroup consisting of kernel with continuous transversal POn . we show that the rank of POCKn is 3n - 5 .