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Cvetko-Vah, Karin; Verwimp, Charlotte

Skew lattices and set-theoretic solutions of the Yang-Baxter equation. (English) Zbl 1461.16039

J. Algebra 542, 65-92 (2020).
It is known that lattices produce set-theoretic solutions to the Yang-Baxter equation. The paper uses skew lattices to construct set-theoretic solutions to the Yang-Baxter equation. The solutions constructed are in general degenerate.
Reviewer: Leandro Vendramin (Buenos Aires)

Cited in 6 Documents

MSC:

16T25 Yang-Baxter equations
03G10 Logical aspects of lattices and related structures
06B75 Generalizations of lattices

Keywords:

Yang-Baxter equation; set-theoretic solutions; skew lattice; noncommutative lattice; distributive

Software:

Mace4
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\textit{K. Cvetko-Vah} and \textit{C. Verwimp}, J. Algebra 542, 65--92 (2020; Zbl 1461.16039)
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References:

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