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Register a new userClassification of the semigroups of order three and four
تصنيف أنصاف الزمر من المرتبة الثالثة و من المرتبة الرابعة
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Damascus University ورقة بحثية
Publication date
2014
fields
Mathematics
and research's language is
العربية
Created by
Shamra Editor
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قدمت في هذه الورقة البحثية طريقة جديدة لدراسة أنصاف الزمر من المرتبة الثالثة و من المرتبة الرابعة، بغية استعراضها و تقديم وصف أفضل لها، و ذلك لملاحظتنا الازدياد الكبير بتعداد أنصاف الزمر من مراتب أعلى. قدمت كذلك الطرائق التي كتبناها و اتبعناها في دراسة الخاصة التجميعية و خلال عملية التصنيف.
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
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