Maximal regular subsemigroups of orientation-preserving or orientation-reserving transformation semigroups I(n,r)
Bo Jun Xu · Journal of Shandong University · 2011
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.