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Skew lattices and set-theoretic solutions of the Yang-Baxter equationCvetko-Vah, Karin ; Verwimp, CharlotteIn this paper we discuss and characterize several set-theoretic solutions of the Yang-Baxter equation obtained using skew lattices, an algebraic structure that has not yet been related to the ... Yang-Baxter equation. Such solutions are degenerate in general, and thus different from solutions obtained from braces and other algebraic structures. Our main result concerns a description of a set-theoretic solution of the Yang-Baxter equation, obtained from an arbitrary skew lattice. We also provide a construction of a cancellative and distributive skew lattice on a given family of pairwise disjoint setsSource: Journal of algebra. - ISSN 0021-8693 (Vol. 542, Jan. 2020, str. 65-92)Type of material - article, component part ; adult, seriousPublish date - 2020Language - englishCOBISS.SI-ID - 18870361
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Cvetko-Vah, Karin | 20267 |
Verwimp, Charlotte | ![]() |
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