Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-25T08:42:07.024Z Has data issue: false hasContentIssue false
  • English
  • Français

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,
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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