方向保序或反方向保序变换半群I(n,r)的极大正则子半群

Maximal regular subsemigroups of orientation-preserving or orientation-reserving transformation semigroups I(n,r)

设Pn是[n]上的方向保序或反方向保序变换半群,得到了半群I(n,r)={α∈Pn:|im(α)|≤r}(3≤r≤n-1)的极大正则子半群的完全分类。

Let Pn be the orientation-preserving or orientation-reserving transformation semigroup on [n],and let I（n,r）={α∈Pn：｜im（α）｜≤r}（3≤r≤n-1）.The classification of the maximal regular subsemigroup of the semigroup is completely obtained.