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Distributivity in Quandles and Quasigroups

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Algebra, Geometry and Mathematical Physics

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 85))

Abstract

Distributivity in algebraic structures appeared in many contexts such as in quasigroup theory, semigroup theory and algebraic knot theory. In this paper we give a survey of distributivity in quasigroup theory and in quandle theory.

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Acknowledgments

I would like to thank Scott Carter, Edwin Clark and Masahico Saito for commenting on an early version and for fruitful suggestions. Thanks also to the referee for all comments.

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Authors and Affiliations

  1. University of South Florida, Tampa, FL, USA

    Mohamed Elhamdadi

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  1. Mohamed Elhamdadi
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Correspondence to Mohamed Elhamdadi .

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Editors and Affiliations

  1. Informatique et Applications, Université of Haute Alsace, Laboratoire de Mathématiques, Mulhouse, France

    Abdenacer Makhlouf

  2. Tallinn University of Technology, Dept. Mathematics, Tallinn, Estonia

    Eugen Paal

  3. Culture and Communication (UKK) Division of Applied Mathematics, Mälardalen University, The School of Education, Västerås, Sweden

    Sergei D. Silvestrov

  4. Dept. Mathematical Sciences, University of Göteborg, Göteborg, Sweden

    Alexander Stolin

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Elhamdadi, M. (2014). Distributivity in Quandles and Quasigroups. In: Makhlouf, A., Paal, E., Silvestrov, S., Stolin, A. (eds) Algebra, Geometry and Mathematical Physics. Springer Proceedings in Mathematics & Statistics, vol 85. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55361-5_19

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