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On a generalization of the transformation semigroup

Published online by Cambridge University Press:  09 April 2009

J. S. V. Symons
J. S. V. Symons
Affiliation:
University of Western Australia, Nedlands
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In a series of papers ((1967), (1967a) and (1967b)) Magill has considered the semigroups J(X, Y; θ) (definition below), a natural, but extensive, generalization of the usual transformation semigroup J(X). They have also been studiedin Sullivan (to appear). Under the assumption that θ be onto Magill described their automorphisms and determined when one J(X, Y; θ) is isomorphic to another.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 19 , Issue 1 , February 1975 , pp. 47 - 61
Copyright
Copyright © Australian Mathematical Society 1975

References

Clifford, A. H. and Preston, G. B. (1961) and (1967), The algebraic theory of Semigroups, Vols. I and II (Math. Surveys of the American Math. Soc., 7, 1961 and 1967).Google Scholar
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Sullivan, R. P., ‘Generalized Partial Transformation Semigroups’. (to appear)Google Scholar
Symons, J. S. V., Some results concening a transformation semigroup. (to appear in J. Austral. Math. Soc.)Google Scholar