WAGNER TRANSFORMATIONS AND MAXIMAL CLIFFORD INVERSE SEMIGROUPS OF TRANSFORMATIONS

Boyko Gyurov

Abstract

Using a technique developed by Victor Wagner, that combines full and partial transformations of a set, we classify all maximal Clifford inverse subsemigroups of the semigroup of all (full) transformations of a set. In addition, some computational results for properties of the Maximal Clifford inverse subsemigroups of the semigroup of all partial one-to-one transformations of a finite set are given.