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Normal semigroups of one-to-one transformations

Published online by Cambridge University Press:  20 January 2009

Inessa Levi
Affiliation:
Department of MathematicsUniversity Of LouisvilleLouisville, KY 40292, U.S.A.
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Abstract

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Let X be an infinite set and S be a transformation semigroup on X invariant under conjugations by permutations of X. Such S is termed x-normal. In the paper, we describe elements of a x-normal semigroup S of one-to-one transformations.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1991

References

REFERENCES

1.Fröbero, R., Gottlieb, C. and Häggkvist, R., On numerical semigroups, Semigroup Forum 35 (1987), 6383.CrossRefGoogle Scholar
2.Levi, I., Automorphisms of normal transformation semigroups, Proc. Edinburgh Math Soc. 28 (1985), 185205.CrossRefGoogle Scholar
3.Schein, B. M., Symmetric semigroups of transformations, Abstracts Amer. Math. Soc. 5 (1980), 476.Google Scholar
4.Scott, W. R., Group Theory (Prentice-Hall, 1964).Google Scholar