INJECTIVE ENDOMORPHISMS OF GX-NORMAL SEMIGROUPS - FINITE DEFECTS

Authors
LEVI I
Citation
I. Levi, INJECTIVE ENDOMORPHISMS OF GX-NORMAL SEMIGROUPS - FINITE DEFECTS, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 57, 1994, pp. 261-280
Citations number
7
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
57
Year of publication
1994
Part
2
Pages
261 - 280
Database
ISI
SICI code
0263-6115(1994)57:<261:IEOGS->2.0.ZU;2-T
Abstract
A semigroup of transformations of an infinite set X is called G x-norm al if S is invariant under conjugations by permutations of X. In this paper we describe injective endomorphisms of G x-normal semigroups of total one-to-one transformations f such that the range of f has a fini te non-empty complement in X.