Injective endomorphisms of 𝒢x-normal semigroups: finite defects
Inessa Levi Ā· Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics Ā· 1994
Abstract A semigroup of transformations of an infinite set X is called 𝒢x-normal if S is invariant under conjugations by permutations of X. In this paper we describe injective endomorphisms of 𝒢x-normal semigroups of total one-to-one transformations f such that the range of f has a finite non-empty complement in X.