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Free burnside semigroups

Alair Pereira Do Lago;  Imre Simon — 2001

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

This paper surveys the area of Free Burnside Semigroups. The theory of these semigroups, as is the case for groups, is far from being completely known. For semigroups, the most impressive results were obtained in the last 10 years. In this paper we give priority to the mathematical treatment of the problem and do not stress too much neither motivation nor the historical aspects. No proofs are presented in this paper, but we tried to give as many examples as was possible.

Free Burnside Semigroups

Alair Pereira do Lago;  Imre Simon — 2010

RAIRO - Theoretical Informatics and Applications

This paper surveys the area of Free Burnside Semigroups. The theory of these semigroups, as is the case for groups, is far from being completely known. For semigroups, the most impressive results were obtained in the last 10 years. In this paper we give priority to the mathematical treatment of the problem and do not stress too much neither motivation nor the historical aspects. No proofs are presented in this paper, but we tried to give as many examples as was possible.

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