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Injective endomorphisms of 𝒢x-normal semigroups: finite defects

Published online by Cambridge University Press:  09 April 2009

Inessa Levi
Inessa Levi
Affiliation:
Department of Mathematics, University of Louisville, Louisville, KY, 40292
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Abstract

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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.

Keywords

semigroupGx-normal semigrouptransformationendomorphism.

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 57 , Issue 2 , October 1994 , pp. 261 - 280
Copyright
Copyright © Australian Mathematical Society 1994

References

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