Maximal Inverse Subsemigroup for the Ideal K(n,r) of OI_n
Bo Jun Xu · Shuxue de shijian yu renshi · 2008
Let Xn be finite set of containing n elements,and OIn be semigroup of all order-preserving strictly partial one-to-one transformation on the Xn.Writing K(n,r)={α∈OIn∶|Tmα|≤r} (0≤r≤n-1),then K(n,r)(0≤r≤n-1) is the ideal of OIn.