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A comment on the solutions of the generalized Faddeev–Volkov model.
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- International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2024, v. 38, n. 23, p. 1, doi. 10.1142/S0217979224503119
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- Article
New data-driven equation for estimating total sediment loads in rivers: application of the MHBMO algorithm.
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- Acta Geophysica, 2024, v. 72, n. 4, p. 2795, doi. 10.1007/s11600-023-01196-0
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Quantization of locally compact groups associated with essentially bijective 1-cocycles.
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- International Journal of Mathematics, 2024, v. 35, n. 8, p. 1, doi. 10.1142/S0129167X24500277
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A Jordan–Hölder theorem for skew left braces and their applications to multipermutation solutions of the Yang–Baxter equation.
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- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2024, v. 154, n. 3, p. 793, doi. 10.1017/prm.2023.37
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- Article
A Q-Operator for Open Spin Chains II: Boundary Factorization.
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- Communications in Mathematical Physics, 2024, v. 405, n. 5, p. 1, doi. 10.1007/s00220-024-04973-0
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- Article
Free pre-Lie family algebras.
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- Annales de l'Institut Henri Poincaré D, 2024, v. 11, n. 2, p. 331, doi. 10.4171/AIHPD/162
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Finite Idempotent Set-Theoretic Solutions of the Yang–Baxter Equation.
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- IMRN: International Mathematics Research Notices, 2024, v. 2024, n. 7, p. 5458, doi. 10.1093/imrn/rnad183
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- Article
Rota–Baxter mock-Lie bialgebras and related structures.
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- International Journal of Geometric Methods in Modern Physics, 2024, v. 21, n. 5, p. 1, doi. 10.1142/S0219887824501044
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Post-Hopf algebras, relative Rota-Baxter operators and solutions to the Yang-Baxter equation.
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- Journal of Noncommutative Geometry, 2024, v. 18, n. 2, p. 605, doi. 10.4171/JNCG/537
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Yang–Baxter equation in all dimensions and universal qudit gates.
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- Theoretical & Mathematical Physics, 2024, v. 219, n. 1, p. 544, doi. 10.1134/S0040577924040032
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- Article
ON THE CAUCHY PROBLEM FOR SYSTEMS OF LINEAR EQUATIONS OF ELLIPTIC TYPE OF THE FIRST ORDER IN THE SPACE R<sup>m</sup>.
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- TWMS Journal of Applied & Engineering Mathematics, 2024, v. 14, n. 2, p. 618
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Post-groups, (Lie-)Butcher groups and the Yang–Baxter equation.
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- Mathematische Annalen, 2024, v. 388, n. 3, p. 3127, doi. 10.1007/s00208-023-02592-z
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Involutive Yang-Baxter: cabling, decomposability, and Dehornoy class.
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- Revista Mathematica Iberoamericana, 2024, v. 40, n. 2, p. 623, doi. 10.4171/RMI/1438
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- Article
R-matrix for the 8-Dimensional Spin Representation of Uq(so7).
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- Acta Mathematica Sinica, 2024, v. 40, n. 2, p. 485, doi. 10.1007/s10114-023-1082-5
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- Article
Dehornoy's class and Sylows for set-theoretical solutions of the Yang–Baxter equation.
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- International Journal of Algebra & Computation, 2024, v. 34, n. 1, p. 147, doi. 10.1142/S0218196724500048
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- Article
New polyconvolution product for Fourier‐cosine and Laplace integral operators and their applications.
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- Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 3, p. 1680, doi. 10.1002/mma.9716
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Geometry of generalized fluid flows.
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- Calculus of Variations & Partial Differential Equations, 2024, v. 63, n. 1, p. 1, doi. 10.1007/s00526-023-02612-5
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SET-THEORETICAL SOLUTIONS FOR THE YANG-BAXTER EQUATION IN TRIANGLE ALGEBRAS.
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- Discussiones Mathematicae: General Algebra & Applications, 2024, v. 44, n. 1, p. 15, doi. 10.7151/dmgaa.1431
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Lie Bialgebra Structure of Derivation Lie Algebra over Quantum Torus.
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- Frontiers of Mathematics, 2024, v. 19, n. 1, p. 143, doi. 10.1007/s11464-021-0310-5
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Symplectic Forms and the Yang-Baxter Equation in Jacobi-Jordan algebras.
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- International Journal of Mathematics & Computer Science, 2024, v. 19, n. 1, p. 23
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On the combination of Lebesgue and Riemann integrals in theory of convolution equations.
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- Theoretical & Mathematical Physics, 2024, v. 218, n. 1, p. 68, doi. 10.1134/S0040577924010057
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- Article
Bialgebras, the Yang-Baxter equation and Manin triples for mock-Lie algebras.
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- Acta et Commentationes Universitatis Tartuensis de Mathematica, 2023, v. 27, n. 2, p. 211, doi. 10.12697/ACUTM.2023.27.16
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- Article
Central nilpotency of skew braces.
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- Journal of Algebra & Its Applications, 2023, v. 22, n. 12, p. 1, doi. 10.1142/S0219498823502559
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Nilpotency of skew braces and multipermutation solutions of the Yang–Baxter equation.
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- Communications in Contemporary Mathematics, 2023, v. 25, n. 9, p. 1, doi. 10.1142/S021919972250064X
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Bailey pairs for the q-hypergeometric integral pentagon identity.
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- European Physical Journal C -- Particles & Fields, 2023, v. 83, n. 11, p. 1, doi. 10.1140/epjc/s10052-023-12086-6
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Skew-braces and 푞-braces.
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- Forum Mathematicum, 2023, v. 35, n. 6, p. 1631, doi. 10.1515/forum-2022-0385
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- Article
Chaotic string dynamics in bosonic η-deformed AdS5×T1,1 background.
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- Modern Physics Letters A, 2023, v. 38, n. 30/31, p. 1, doi. 10.1142/S0217732323501420
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A Min-Plus Algebra System Theory for Traffic Networks.
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- Mathematics (2227-7390), 2023, v. 11, n. 19, p. 4028, doi. 10.3390/math11194028
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Quasi-free states on a class of algebras of multicomponent commutation relations.
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- Reviews in Mathematical Physics, 2023, v. 35, n. 9, p. 1, doi. 10.1142/S0129055X23500204
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- Article
ON A REGULARIZED SOLUTION OF THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION.
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- TWMS Journal of Applied & Engineering Mathematics, 2023, v. 13, n. 4, p. 1311
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- Article
When Hom-Lie structures form a Jordan algebra.
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- Journal of Algebra & Its Applications, 2023, v. 22, n. 9, p. 1, doi. 10.1142/S0219498823501979
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Exploring Consumer Behavior and Preferences in Welfare-Friendly Pork Breeding: A Multivariate Analysis.
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- Foods, 2023, v. 12, n. 16, p. 3014, doi. 10.3390/foods12163014
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Lie symmetry analysis for two-phase flow with mass transfer.
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- International Journal of Nonlinear Sciences & Numerical Simulation, 2023, v. 24, n. 5, p. 1705, doi. 10.1515/ijnsns-2022-0126
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From braces to Hecke algebras and quantum groups.
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- Journal of Algebra & Its Applications, 2023, v. 22, n. 8, p. 1, doi. 10.1142/S0219498823501797
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Velocity Slip in a Deep-sea Slurry Pump and Its Effect on Particle Transportation.
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- Journal of Applied Fluid Mechanics, 2023, v. 16, n. 8, p. 1654, doi. 10.47176/jafm.16.08.1661
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Dynamic analysis of new two‐dimensional fractional‐order discrete chaotic map and its application in cryptosystem.
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- Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 12, p. 12319, doi. 10.1002/mma.8779
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Higher-rank generalization of the 11-vertex rational -matrix: IRF–vertex relations and the associative Yang–Baxter equation.
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- Theoretical & Mathematical Physics, 2023, v. 216, n. 2, p. 1083, doi. 10.1134/S0040577923080019
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Optimal system of solution using group invariance technique for shock wave in a non-ideal self-gravitating gas in rotating medium in presence of magnetic field.
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- Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2023, v. 78, n. 8, p. 721, doi. 10.1515/zna-2023-0026
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Infinite-Dimensional Lie Bialgebras via Affinization of Novikov Bialgebras and Koszul Duality.
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- Communications in Mathematical Physics, 2023, v. 401, n. 2, p. 2011, doi. 10.1007/s00220-023-04684-y
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A class of new successive permutation iterative algorithms with the relaxation factor for radiation diffusion equation.
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- Computational & Applied Mathematics, 2023, v. 42, n. 5, p. 1, doi. 10.1007/s40314-023-02341-7
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- Article
Classification of Uniconnected Involutive Solutions of the Yang–Baxter Equation With Odd Size and a Z-Group Permutation Group.
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- IMRN: International Mathematics Research Notices, 2023, v. 2023, n. 14, p. 11962, doi. 10.1093/imrn/rnac185
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New structure on the quantum alcove model with applications to representation theory and Schubert calculus.
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- Journal of Combinatorial Algebra, 2023, v. 7, n. 3/4, p. 347, doi. 10.4171/JCA/77
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SOME GROUP-THEORETICAL APPROACHES TO SKEW LEFT BRACES.
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- International Journal of Group Theory, 2023, v. 12, n. 2, p. 99, doi. 10.22108/IJGT.2022.132214.1776
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Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles.
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- Journal of High Energy Physics, 2023, v. 2023, n. 6, p. 1, doi. 10.1007/JHEP06(2023)059
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Combinatorial knot theory and the Jones polynomial.
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- Journal of Knot Theory & Its Ramifications, 2023, v. 32, n. 8, p. 1, doi. 10.1142/S0218216523400114
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The propagation of strong cylindrical shock wave in a rotating axisymmetric non‐ideal gas with radiation heat flux.
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- Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 9, p. 10814, doi. 10.1002/mma.9153
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Numerically stable iterative methods for computing matrix sign function.
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- Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 8, p. 8596, doi. 10.1002/mma.9004
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Remarks on sharp boundary estimates for singular and degenerate Monge-Ampère equations.
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- Communications on Pure & Applied Analysis, 2023, v. 22, n. 5, p. 1, doi. 10.3934/cpaa.2023043
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On Two Non-Ergodic Reversible Cellular Automata, One Classical, the Other Quantum †.
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- Entropy, 2023, v. 25, n. 5, p. 739, doi. 10.3390/e25050739
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Tri-vector deformations on compact isometries.
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- European Physical Journal C -- Particles & Fields, 2023, v. 83, n. 5, p. 1, doi. 10.1140/epjc/s10052-023-11569-w
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- Article