Idempotent set-theoretical solutions of the pentagon equation

DOI10.1007/s40574-023-00382-8MaRDI QIDQ6564821

Marzia Mazzotta

Publication date: 1 July 2024

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

zbMATH Keywords

semigrouppentagon equationset-theoretical solution

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Semigroups (20M99) Yang-Baxter equations (16T25)

Related Items (2)

On the structure of set-theoretic polygon equations ⋮ On quadrirational pentagon maps

Cites Work

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• Pentagon equation arising from state equations of a C\(^*\)-bialgebra
• Zappa products
• The kernel of monoid morphisms
• Poisson Lie groups and pentagonal transformations
• On pentagon, ten-term, and tetrahedron relations
• Pre-compatible almost endomorphisms and semigroups whose cube is a band.
• Set-theoretical solutions of the Yang-Baxter and pentagon equations on semigroups
• Set-theoretic solutions of the pentagon equation
• Simplex and polygon equations.
• Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and semitrusses
• Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres
• On some unsolved problems in quantum group theory
• The hopf modules category and the hopf equation
• Transformations pentagonales
• FROM MULTIPLICATIVE UNITARIES TO QUANTUM GROUPS
• Cohomology of idempotent braidings with applications to factorizable monoids
• Idempotent solutions of the Yang–Baxter equation and twisted group division
• Set-theoretical solutions of the pentagon equation on groups

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