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Computation of the transformation semigroups on three letters

Published online by Cambridge University Press:  09 April 2009

Carroll Wilde  and
Sharon Raney
Carroll Wilde
Affiliation:
Naval Postgraduate School,
Sharon Raney
Affiliation:
Naval Postgraduate School,
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Let H denote a set with three elements, and T3 the full transformation semigroup on X, i.e. T3 consists of the twenty-seven self maps of X under functional composition. A transformation semigroup (briefly a τ-semigroup) on three letters is an ordered pair (X, S), where S is any subsemigroup of T3.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 14 , Issue 3 , November 1972 , pp. 335
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Wilde, C., Jayachandran, T., ‘Amenable transformation semigroups’, J. Australian Math. Soc. V. XII, Part 4 (1971), 502–510.CrossRefGoogle Scholar