J Austral Math Soc Ser A 57 pp261--280, 1994.

Injective Endomorphisms of GX-Normal Semigroups: Finite Defects

Inessa Levi

(Received 25 July 1991; revised 15 June 1992)

Abstract

A semigroup of transformations of an infinite set X is called GX-normal if S is invariant under conjuhations 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.

1991 AMS Subject Classification: 20M20

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Authors

Inessa Levi
Department of Mathematics, University of Louisville, Louisville, KY 40292.

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