Yang-Baxter equation in median algebras

DOI10.1007/s12215-020-00486-6zbMath1480.16062OpenAlexW3008186355MaRDI QIDQ2024393

Tugce Katican, Tahsin Oner, Arsham Borumand Saeid

Publication date: 4 May 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00486-6

zbMATH Keywords

Yang-Baxter equationmedian algebraternary algebra

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Yang-Baxter equations (16T25) Combinatorial aspects of commutative algebra (05E40)

Cites Work

• Introduction to the Yang-Baxter equation with open problems.
• Median graphs and Helly hypergraphs
• Median algebras
• Skew lattices and set-theoretic solutions of the Yang-Baxter equation
• Yang-Baxter equations, computational methods and applications
• Partition function of the eight-vertex lattice model
• Infinite median graphs, (0, 2)-graphs, and hypercubes
• The ideal structure of simple ternary algebras
• Metric Ternary Distributive Semi-Lattices
• Caracterisation Mediane Des Arbres
• INTRODUCTION TO THE YANG-BAXTER EQUATION
• n‐cubes and median graphs
• Median Algebra
• A new family of set-theoretic solutions of the Yang–Baxter equation
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
• The Two-Triangle Case of the Acquaintance Graph
• Ternary Boolean algebra
• A ternary operation in distributive lattices
• Trees, Lattices, Order, and Betweenness
• Medians and Betweenness
• Medians, Lattices, and Trees
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