Set-theoretic solutions of the Yang-Baxter equation associated to weak braces
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Publication:2143172
DOI10.1007/s00233-022-10264-8OpenAlexW4220988533MaRDI QIDQ2143172
Maria Maddalena Miccoli, Paola Stefanelli, Francesco Catino, Marzia Mazzotta
Publication date: 31 May 2022
Published in: Semigroup Forum (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.02537
quantum Yang-Baxter equationinverse semigroupbraceClifford semigroupsemi-braceset-theoretic solutionskew brace
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Cites Work
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- Left semi-braces and solutions of the Yang-Baxter equation
- Braces, radical rings, and the quatum Yang-Baxter equation.
- Factorizable inverse monoids.
- Classical solutions of the quantum Yang-Baxter equation
- Semigroups of \(I\)-type
- On the set-theoretical Yang-Baxter equation
- Skew braces and the Galois correspondence for Hopf Galois structures
- Skew braces and Hopf-Galois structures of Heisenberg type
- On the regularity of semidirect products
- Set-theoretical solutions to the quantum Yang-Baxter equation
- Finite skew braces with solvable additive group
- The matched product of the solutions to the Yang-Baxter equation of finite order
- Set-theoretical solutions of the Yang-Baxter and pentagon equations on semigroups
- Opposite skew left braces and applications
- Bi-skew braces and Hopf Galois structures
- Factorizations of skew braces
- Semi-braces and the Yang-Baxter equation
- On skew braces (with an appendix by N. Byott and L. Vendramin)
- Matched pairs approach to set theoretic solutions of the Yang-Baxter equation.
- Partition function of the eight-vertex lattice model
- Inverse semi-braces and the Yang-Baxter equation
- Skew braces and the Yang–Baxter equation
- Semidirect products of semigroups
- On some unsolved problems in quantum group theory
- Skew left braces of nilpotent type
- Skew braces of size pq
- Skew left braces with non-trivial annihilator
- Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
- Factorizable semigroups
- Factorizable semigroups