Classification of the semigroups of order three and four
published by Damascus University
in 2014
in Mathematics
and research's language is
العربية
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Abstract in English
In this paper we are presenting a new method for studying the semigroups
of order three and four. We are going to explore these semigroups and
illustrate a better description of them while observing their enormous
increasing in number for larger orders.
We are presenting the methods we wrote and followed during our study of
associativity and during the classification process.
References used
Clifford, A. H. and Preston, G. B. (1961). The Algebraic Theory of Semigroups, Vol. I. Mathematical Surveys of the American Mathematical Society No.7. p.1
Griess, R. L. (1982). The friendly giant. Inventiones Mathematicae 69 (1): 1- 102
Forsythe, G. E. (1955). SWAC computes 126 distinct Semigroups of order 4. Proc. Amer. Math. Soc., 6:443-447