Set-theoretical solutions to the Hom-Yang-Baxter equation and Hom-cycle sets
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[1] Shengxiang Wang,et al. Hom-Yang-Baxter equations and Hom-Yang-Baxter systems , 2021, Communications in Algebra.
[2] M. Castelli,et al. Indecomposable Involutive Set-Theoretic Solutions of the Yang–Baxter Equation and Orthogonal Dynamical Extensions of Cycle Sets , 2019, Mediterranean Journal of Mathematics.
[3] W. Rump,et al. On the indecomposable involutive set-theoretic solutions of the Yang-Baxter equation of prime-power size , 2019, Communications in Algebra.
[4] E. Jespers,et al. Noetherian Semigroup Algebras , 1999, Semigroup Algebras.
[5] M. Kinyon,et al. Involutive latin solutions of the Yang-Baxter equation , 2019, 1910.02148.
[6] M. Castelli,et al. About a question of Gateva-Ivanova and Cameron on square-free set-theoretic solutions of the Yang-Baxter equation , 2019, 1904.07805.
[7] Florin Panaite,et al. Hom–Tensor Categories and the Hom–Yang–Baxter Equation , 2017, Appl. Categorical Struct..
[8] Zhengming Jiao,et al. Solutions of the Hom-Yang–Baxter Equation from Monoidal Hom-(Co)Algebra Structures , 2018, Mathematical Notes.
[9] M. Castelli,et al. A new family of set-theoretic solutions of the Yang–Baxter equation , 2018 .
[10] Diogo Kendy Matsumoto,et al. Quiver-theoretical approach to dynamical Yang–Baxter maps , 2017, Journal of Algebra.
[11] T. Gateva-Ivanova. Set-theoretic solutions of the Yang–Baxter equation, braces and symmetric groups , 2015, Advances in Mathematics.
[12] Victor A. Shcherbacov,et al. Elements of Quasigroup Theory and Applications , 2017 .
[13] L. Vendramin,et al. Skew braces and the Yang-Baxter equation , 2015, Math. Comput..
[14] V. Lebed,et al. Homology of left non-degenerate set-theoretic solutions to the Yang–Baxter equation , 2015, 1509.07067.
[15] W. Rump. Dynamical groups and braces , 2016 .
[16] Y. Shibukawa. Hopf algebroids and rigid tensor categories associated with dynamical Yang–Baxter maps , 2016 .
[17] A. Smoktunowicz. On Engel groups, nilpotent groups, rings, braces and the Yang-Baxter equation , 2015, 1509.00420.
[18] Patrick Dehornoy,et al. Foundations of Garside Theory , 2013, 1309.0796.
[19] Liangyun Zhang,et al. The category of Yetter-Drinfel'd Hom-modules and the quantum Hom-Yang-Baxter equation , 2014 .
[20] Patrick Dehornoy,et al. Set-theoretic solutions of the Yang–Baxter equation, RC-calculus, and Garside germs , 2014, 1403.3019.
[21] Diogo Kendy Matsumoto. Dynamical braces and dynamical Yang–Baxter maps , 2013 .
[22] F. Cedó,et al. Braces and the Yang–Baxter Equation , 2012, 1205.3587.
[23] Donald Yau. Hom-quantum groups: I. Quasi-triangular Hom-bialgebras , 2009, 0906.4128.
[24] N. Kamiya,et al. Dynamical Yang-Baxter Maps Associated with Homogeneous Pre-Systems , 2011 .
[25] Donald Yau. The Hom-Yang-Baxter equation and Hom-Lie algebras , 2009, 0905.1887.
[26] Donald Yau. The classical Hom-Yang-Baxter equation and Hom-Lie bialgebras , 2009, 0905.1890.
[27] Donald Yau. The Hom–Yang–Baxter equation, Hom–Lie algebras, and quasi-triangular bialgebras , 2009, 0903.0585.
[28] Wolfgang Rump,et al. Braces, radical rings, and the quantum Yang–Baxter equation , 2007 .
[29] A. Veselov. Yang-Baxter maps: dynamical point of view , 2006, math/0612814.
[30] T. Gateva-Ivanova,et al. Matched pairs approach to set theoretic solutions of the Yang–Baxter equation , 2005, math/0507394.
[31] P. Etingof,et al. The Dynamical Yang-Baxter Equation, Representation Theory, and Quantum Integrable Systems , 2005 .
[32] Wolfgang Rump,et al. A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation , 2005 .
[33] Y. Shibukawa. Dynamical Yang-Baxter maps , 2005 .
[34] T. Gateva-Ivanova. A combinatorial approach to the set-theoretic solutions of the Yang–Baxter equation , 2004, math/0404461.
[35] M. Yan,et al. On the set-theoretical Yang-Baxter equation , 2000 .
[36] P. Etingof,et al. Lectures on the dynamical Yang-Baxter equations , 1999, math/9908064.
[37] T. Gateva-Ivanova,et al. Semigroups of I-type , 2003, math/0308071.
[38] T. Gateva-Ivanova,et al. Semigroups ofI-Type , 1998 .
[39] A. Varchenko,et al. Solutions of the Quantum Dynamical Yang–Baxter Equation and Dynamical Quantum Groups , 1997, q-alg/9708015.
[40] V. Drinfeld. On some unsolved problems in quantum group theory , 1992 .
[41] R. Baxter. Partition function of the eight vertex lattice model , 1972 .
[42] C. Yang. Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction , 1967 .