Automorphisms of normal partial transformation semigroups
Author:
Open Access
- 1 July 1987
- journal article
- research article
- Published by Cambridge University Press (CUP) in Glasgow Mathematical Journal
- Vol. 29 (2) , 149-157
Abstract
We letXbe an arbitrary infinite set. A semigroupSof total or partial transformations ofXis called-normal ifhSh-1=S, for allhin, the symmetric group onX. For example, the full transformation semigroup, the semigroup of all partial transformations, the semigroup of all 1–1 partial transformationsand all ideals ofandare-normal.Keywords
This publication has 5 references indexed in Scilit:
- Homomorphisms of the semigroup of all partial transformations1988
- Automorphisms of normal transformation semigroupsProceedings of the Edinburgh Mathematical Society, 1985
- Automorphisms of Baer-Levi SemigroupsJournal of the London Mathematical Society, 1983
- Automorphisms of transformation semigroupsJournal of the Australian Mathematical Society, 1975
- Über Abbildungen einer abstrakten Menge auf ihre TeilmengenFundamenta Mathematicae, 1937