The maximal regular subsemigroups of singular order-preserving transformation semigroups
XU Xin-zhai · 2009
Let On be the singular order-preserving transformation semigroup on the usual finite chain Xn = {1,2,… ,n}. In this paper, the maximal regular subsemigroups of On are discussed with the method of Green’s relations, and all maximal regular subsemigroups of On are determined.