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Accelerating the convergence of Newton's method for the Yang-Baxter like matrix equation [PDF]
HeliyonThis article explores the application of exact line search and successive over-relaxation techniques to enhance the convergence of Newton method in solving the Yang-Baxter matrix equation for nontrivial numerical solutions. Moreover, the normwise, mixed,
Chacha Stephen Chacha
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On the Colored and the Set-Theoretical Yang–Baxter Equations
Axioms, 2021 This paper is related to several articles published in AXIOMS, SCI, etc. The main concepts of the current paper are the colored Yang–Baxter equation and the set-theoretical Yang–Baxter equation.
Laszlo Barna Iantovics +1 more
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Solutions of Yang–Baxter Equation of Mock-Lie Algebras and Related Rota Baxter Algebras
Computer Sciences & Mathematics Forum, 2023 This paper discusses the relationship between Mock-Lie algebras, Lie algebras, and Jordan algebras. It highlights the importance of the Yang–Baxter equation and symplectic forms in the study of integrable systems, quantum groups, and topological quantum ...
Amir Baklouti
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Unification Theories: Rings, Boolean Algebras and Yang–Baxter Systems
Axioms, 2023 This paper continues a series of papers on unification constructions. After a short discussion on the Euler’s relation, we introduce a matrix version of the Euler’s relation, E I π+U=O.
Florin F. Nichita
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Yang-Baxter Systems, Algebra Factorizations and Braided Categories
Axioms, 2013 The Yang-Baxter equation first appeared in a paper by the Nobel laureate, C.N. Yang, and in R.J. Baxter’s work. Later, Vladimir Drinfeld, Vaughan F. R. Jones and Edward Witten were awarded Fields Medals for their work related to the Yang-Baxter equation.
Florin F. Nichita
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Mathematics, 2021 Every set with a binary operation satisfying a true statement of propositional logic corresponds to a solution of the quantum Yang-Baxter equation. Quantum B-algebras and L-algebras are closely related to Yang-Baxter equation theory.
Aiping Gan, Aziz Muzammal, Yichuan Yang
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Yang–Baxter Equations, Computational Methods and Applications
Axioms, 2015 Computational methods are an important tool for solving the Yang–Baxter equations (in small dimensions), for classifying (unifying) structures and for solving related problems.
Florin F. Nichita
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Mathematics and Poetry · Yang–Baxter Equations, Boolean Algebras, and BCK-Algebras
Sci, 2022 The current paper explores the potential of the areas between mathematics and poetry. We will first recall some definitions and results that are needed to construct solutions of the Yang–Baxter equation.
Tugce Kalkan +4 more
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Central Endomorphisms of Groups and Radical Rings [PDF]
Advances in Group Theory and Applications, 2023 An endomorphism γ of a group G is called a central endomorphism if x^-1 xγ lies into the centre Z(G) of G for each element x of G. It is easy to show that all non-zero central endomorphisms of G are automorphisms if and only if the ring R = Hom(G, Z(G ...
Alessio Russo, Mario Viscusi
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On Solutions to the Set-Theoretical Yang-Baxter Equation in Wajsberg-Algebras
Axioms, 2018 In this work, we introduce Wajsberg algebras which are equivalent structures to MV-algebras in their implicational version, and then we define new notions and give new solutions to the set-theoretical Yang-Baxter equation by using Wajsberg algebras.
Tahsin Oner, Tugce Katican
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