Distributive biracks and solutions of the Yang–Baxter equation
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Publication:4960466
DOI10.1142/S0218196720500150zbMath1464.16030arXiv1906.03960MaRDI QIDQ4960466
Anna Zamojska-Dzienio, Přemysl Jedlička, Agata Pilitowska
Publication date: 16 April 2020
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.03960
congruencesYang-Baxter equationdistributivitynilpotencybirackmultipermutation solutionset-theoretic solution
Nilpotent groups (20F18) Subalgebras, congruence relations (08A30) Subgroups of symmetric groups (20B35) Yang-Baxter equations (16T25)
Related Items (3)
Medial and semimedial left quasigroups ⋮ \(N\)-quandles of links ⋮ Skew left braces and 2-reductive solutions of the Yang-Baxter equation
Uses Software
Cites Work
- Unnamed Item
- Multipermutation solutions of the Yang-Baxter equation
- Braces, radical rings, and the quatum Yang-Baxter equation.
- Retractability of set theoretic solutions of the Yang-Baxter equation
- The retraction relation for biracks
- Biquandles and virtual links
- A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation
- Set-theoretic solutions of the Yang-Baxter equation, braces and symmetric groups
- Virtual knot theory
- Set-theoretical solutions to the quantum Yang-Baxter equation
- Braces and the Yang-Baxter equation
- Set-theoretic solutions of the Yang-Baxter equation, graphs and computations
- Set-theoretic solutions of the Yang-Baxter equation, RC-calculus, and Garside germs.
- ON AXIOMS OF BIQUANDLES
- INTRODUCTION TO THE YANG-BAXTER EQUATION
- On some unsolved problems in quantum group theory
- RACKS AND LINKS IN CODIMENSION TWO
- On Engel groups, nilpotent groups, rings, braces and the Yang-Baxter equation
- Left Braces and the Quantum Yang–Baxter Equation
- Subdirectly irreducible medial quandles
- On Structure Groups of Set-Theoretic Solutions to the Yang–Baxter Equation
- Indecomposable set-theoretical solutions to the quantum Yang-Baxter equation on a set with a prime number of elements
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