TWO NOTES OF MAXIMAL INVERSE SUBSEMIGROUPS OF FULL TRANSFORMATION SEMIGROUPS
Yang Hao-bo · Journal of Mathematics · 2004
Let T_n be the full transformation semigroup on the set X_n={1,2,…,n}. In this paper we show that every maximal inverse subsemigroup of T_n has a group kernel. We construct two new classes of maximal subsemigroups of T_n from a group H-class and some subsemilattices of T_n, which are partial answers to the Schein’s problem of characterizing the maximal inverse subsemigroups of T_n.