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Semigroup theory / Algebraic structures / Nonassociative algebra / Category theory / Monoid / Quasigroup / Inverse element / Entailment / Garside element / Abstract algebra / Algebra / Mathematics


SET-THEORETIC SOLUTIONS OF THE YANG–BAXTER EQUATION, RC-CALCULUS, AND GARSIDE GERMS PATRICK DEHORNOY Abstract. Building on a result by W. Rump, we show how to exploit the right-cyclic law (xy)(xz) = (yx)(yz) in order t
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Document Date: 2014-05-06 11:01:23


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RCquasigroup / Baxter / /

IndustryTerm

involutive nondegenerate set-theoretic solution / involutivity law / set-theoretic solutions / structure / leftselfdistributivity law / involutive nondegenerate set-theoretic solutions / associative product / linear operator / involutive set-theoretic solutions / algebraic law / set-theoretic solution / algebraic systems / rightcyclic law / nondegenerate set-theoretic solution / similar product / left-cyclic law / /

Person

Tatiana Gateva-Ivanova / Gilbert Levitt / Wolfgang Rump / Eric Jespers / PATRICK DEHORNOY / M. Van den Bergh / Eddy Godelle / Jan Okni / /

Position

Acknowledgments The author / /

Product

RC / Garside / /

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