We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
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.
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.)
Article purchase
Temporarily unavailable
References
1
1Burnside, W.Theory of groups of finite order, 2nd edn. (Cambridge: Univ. Press, 1911).Google Scholar
2
2Harary, F.On the number of bi-colored graphs. Pacific J. Math.8 (1958), 743–755.CrossRefGoogle Scholar
3
3Harary, F. and Palmer, E. M.Graphical enumeration (New York: Academic Press, 1973).Google Scholar
4
4Howie, J. M.An introduction to semigroup theory (London: Academic Press, 1976).Google Scholar
5
5Houghton, C. H.Completely 0-simple semigroups and their associated graphs and groups. Semigroup Forum14 (1977), 41–67.CrossRefGoogle Scholar
6
6Rees, D.On semi-groups. Proc. Cambridge Philos. Soc.36 (1940), 387–400.CrossRefGoogle Scholar