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Automorphisms of normal partial transformation semigroups

Published online by Cambridge University Press:  18 May 2009

Inessa Levi
Inessa Levi*
Affiliation:
Department of Mathematics, University of Louisville, Louisville, Kentucky 40292, U.S.A.
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We let X be an arbitrary infinite set. A semigroup S of total or partial transformations of X is called -normal if hSh-1 = S, for all h in , the symmetric group on X. For example, the full transformation semigroup , the semigroup of all partial transformations , the semigroup of all 1–1 partial transformations and all ideals of and are -normal.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 29 , Issue 2 , July 1987, pp. 149 - 157
Copyright
Copyright © Glasgow Mathematical Journal Trust 1987

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