Hostname: page-component-8448b6f56d-xtgtn Total loading time: 0 Render date: 2024-04-23T10:53:24.578Z Has data issue: false hasContentIssue false
  • English
  • Français

Anti-isomorphisms of completely 0-simple semigroups

Published online by Cambridge University Press:  14 November 2011

C. H. Houghton
C. H. Houghton
Affiliation:
Department of Pure Mathematics, University College, Cardiff
Get access Rights & Permissions [Opens in a new window]

Synopsis

Conditions for the existence of anti-isomorphisms and anti-automorphisms of completely 0-simple semigroups are derived and a method is given for the enumeration of finite 0-simple and simple semigroups up to isomorphism and anti-isomorphism.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 83 , Issue 1-2 , 1979 , pp. 55 - 62
Copyright
Copyright © Royal Society of Edinburgh 1979

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Harary, F.. On the number of bi-colored graphs. Pacific J. Math. 8 (1958), 743–755.CrossRefGoogle Scholar
2Houghton, C. H.. Completely O-simple semigroups and their associated graphs and groups. Semigroup Forum 14 (1977), 41–67.CrossRefGoogle Scholar
3Houghton, C. H.. Counting completely 0-simple and completely simple semigroups. Proc. Roy. Soc. Edinburgh Sect. A 79 (1977), 293–297.CrossRefGoogle Scholar
4Houghton, C. H.. Finite zero-simple semigroups over an elementary abelian group. Bull. Austral. Math. Soc. 18 (1978), 211–220.CrossRefGoogle Scholar
5Kerber, A.. Representations of permutation groups I. Lecture Notes in Mathematics 240 (Berlin: Springer, 1971).Google Scholar