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Automorphisms of transformation semigroups
Published online by Cambridge University Press: 20 January 2009
Extract
It is common property in the theory of transformation semigroups that the presence of all the constant maps ensures that automorphisms are induced by a permutation of the underlying set. Essentially, this goes back to Malcev (2); it has been extensively generalised by Sullivan in (4). For semigroups which do not contain the constants (for example, all surjective transformations of a set, or all injections) there is, as yet, no similar result. The purpose of this note is to provide one.
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 19 , Issue 4 , September 1975 , pp. 327 - 329
- Copyright
- Copyright © Edinburgh Mathematical Society 1975
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