Entwined Hom-modules and frobenius properties

DOI10.2298/FIL1911307GzbMath1499.16074OpenAlexW3008599385MaRDI QIDQ5863885

Shuang-Jian Guo, Xiaohui Zhang, Yuanyuan Ke

Publication date: 3 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1911307g

zbMATH Keywords

Frobenius extensionMaschke type theorementwined Hom-moduleDoi-Hom Hopf modulenormalized \((A, \beta)\)-integral

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05)

Cites Work

• Unnamed Item
• Hom-L-R-smash products, Hom-diagonal crossed products and the Drinfeld double of a Hom-Hopf algebra.
• Frobenius and separable functors for generalized module categories and nonlinear equations
• Coalgebra bundles
• Hom-algebra structures
• Separable functors for the category of Doi Hom-Hopf modules
• Braided monoidal categories and Doi–Hopf modules for monoidal Hom-Hopf algebras
• The FRT-type Theorem for the Hom–Long Equation
• A construction of the Hom-Yetter–Drinfeld category
• Doi Hom-Hopf modules and Frobenius type properties
• Monoidal Hom–Hopf Algebras
• Symmetries and the u-condition in Hom-Yetter-Drinfeld categories
• Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebras
• HOM-ALGEBRAS AND HOM-COALGEBRAS
• Frobenius properties and Maschke-type theorems for entwined modules
• The general induction functors for the category of entwined Hom-modules
• Integrals for monoidal Hom-Hopf algebras and their applications
• Yetter-Drinfeld modules for Hom-bialgebras
• Radford's biproducts and Yetter-Drinfeld modules for monoidal Hom-Hopf algebras
• The category of Yetter-Drinfel'd Hom-modules and the quantum Hom-Yang-Baxter equation
• A Maschke type theorem for relative Hom-Hopf modules

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