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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.

Information

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
Magill, K. D. Jnr (1967), ‘Semigroup structures for families of functions, I. Some Homomorphism theorems’, J. Austral. Math. Soc., 7, 81–94.CrossRefGoogle Scholar
Magill, K. D. Jnr (1967a), ‘Semigroup structuresfor families of functions, II. Continuous functions’, J. Austral. Math. Soc., 7, 95–107.CrossRefGoogle Scholar
Magill, K. D. Jnr (1967b), ‘Semigroup structuresfor families of functions, III. N t*–semigroups’, J. Austral. Math. Soc., 7, 524–538.CrossRefGoogle Scholar
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