Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-06T01:03:46.088Z Has data issue: false hasContentIssue false

Automorphisms and range families of transformation semigroups

Published online by Cambridge University Press:  17 April 2009

Inessa Levi
Affiliation:
Department of Mathematics, University of Canterbury, Christchurch 1, New Zealand.
Rights & Permissions [Opens in a new window]

Abstract

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Abstracts of Australasian PhD theses
Copyright
Copyright © Australian Mathematical Society 1985

References

[1]Clifford, A.H. and Preston, G.B., The Algebraic Theory of Semigroups, Vol. 2 (Mathematical Surveys No. 7, Amer. Math. Soc., Providence, R.I. 1967).Google Scholar
[2]Levi, I., Schein, B.M., Sullivan, R.P. and Wood, G.R., Automorphisms of Baer-Levi semigroups, J. London Math. Soc. (2) 28 (1983), 492495.CrossRefGoogle Scholar
[3]Levi, I., O'Meara, K.C. and Wood, G.R., Autonorphisms of Croisot-Teissier semigroups, J. Algebra (to appear).Google Scholar
[4]Levi, I., Autonorphisms of normal transformation semigroups, Proc. Edinburgh Math. Soc. (to appear).Google Scholar
[5]Levi, I., On the set of ranges of a transformation semigroup, Semigroup Forum (to appear).Google Scholar
[6]Levi, I., Order-automorphisms of normal subsets of a power set (submitted).Google Scholar
[7]Mal'cev, A.I., Symmetric groupoids, Math. Sb. (N.S.) 31 (73) 1952, 136151;Google Scholar
translated in Amer. Math. Soc. Transl. 113 (1979), 235250.CrossRefGoogle Scholar
[8]Olonichev, P.M., A characterization of the projections of monogenic partial transformation semigroups, I, II (Russian), Izv. Vysš. Učebn. Zaved. Matematika (1971), No. 7 (110), 5462;Google Scholar
Isv. Vysš. Učebn. Zaved. Matematika (1971), No. 8 (111), 8893.Google Scholar
[9]Schein, B.M., Symmetric semigroups of transformations, Abstracts Amer. Math. Soc. 5 (1980), 476.Google Scholar
[10]Schreier, J., Über Abbi1dungen einer abstrakten Menge auf ihre Teilmengen, Fund. Math. 28 (1937), 261264.CrossRefGoogle Scholar
[11]Symons, J.S.V., Normal transformation semigroup, J. Austral. Math. Soc. (A) 22 (1976), 385390.CrossRefGoogle Scholar