On the maximal inverse subsemigroup of K_D(n,r)
Ping Zhao · Journal of Guizhou Normal University · 2010
let Xn={1,2,3,…,n}(n≥3) ordered in the standard way,and DOIn be the semigroup of all ordr-preserving or anti-order-preserving the strict partial one-to-one transformations of Xn.For2≤r≤n-1,in this paper,we characterize the maximal inverse subsemigroups of KD(n,r)={α∈DOIn:|imα|≤r}(n≥3),which are ideals of DOIn.