Radford’s theorem about Hopf braces

DOI10.1080/00927872.2021.1982955zbMath1505.16047OpenAlexW3208783716MaRDI QIDQ5061587

Zhiling Ying, Haixing Zhu

Publication date: 14 March 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2021.1982955

zbMATH Keywords

Yetter-Drinfeld modulesYang-Baxter equationsbraided Hopf algebrasHopf braces

Mathematics Subject Classification ID

Brauer groups (algebraic aspects) (16K50) Hopf algebras and their applications (16T05)

Cites Work

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• The structure of Hopf algebras with a projection
• Braces, radical rings, and the quatum Yang-Baxter equation.
• On the classification of finite-dimensional pointed Hopf algebras.
• Semi-direct products of Hopf algebras
• Semigroups of \(I\)-type
• Hopf algebras of low dimension
• On the set-theoretical Yang-Baxter equation
• Skew braces and the Galois correspondence for Hopf Galois structures
• Symmetric Yetter-Drinfeld categories are trivial
• Set-theoretical solutions to the quantum Yang-Baxter equation
• Classification of braces of order \(p^3\)
• Braided groups
• Semi-braces and the Yang-Baxter equation
• Braces and the Yang-Baxter equation
• Solutions of the Yang-Baxter equation associated with a left brace.
• Hopf braces and Yang-Baxter operators
• Skew braces and the Yang–Baxter equation
• Constructing Hopf braces
• Involutive Yang-Baxter groups
• On some unsolved problems in quantum group theory
• Yang–Baxter operators in symmetric categories
• Iterated matched products of finite braces and simplicity; new solutions of the Yang-Baxter equation
• The construction of braided tensor categories from Hopf braces
• Trusses: Between braces and rings

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