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Counting completely 0-simple and completely simple semigroups
Published online by Cambridge University Press: 14 November 2011
Synopsis
Formulae are derived for the numbers of completely 0-simple and completely simple semigroups with m ℒ-classes, n ℜ-classes and underlying finite group G.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 79 , Issue 3-4 , 1978 , pp. 293 - 297
- Copyright
- Copyright © Royal Society of Edinburgh 1978
References
1Burnside, W.Theory of groups of finite order, 2nd edn. (Cambridge: Univ. Press, 1911).Google Scholar
2Harary, F.On the number of bi-colored graphs. Pacific J. Math. 8 (1958), 743–755.CrossRefGoogle Scholar
5Houghton, C. H.Completely 0-simple semigroups and their associated graphs and groups. Semigroup Forum 14 (1977), 41–67.CrossRefGoogle Scholar
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