The fundamental theorem and Maschke's theorem in the category of relative Hom-Hopf modules

• Autorzy: Yuanyuan Chen , Zhongwei Wang , Liangyun Zhang
• Języki publikacji: EN

Abstrakty

EN

We introduce the concept of relative Hom-Hopf modules and investigate their structure in a monoidal category $𝓗̃ (ℳ_{k})$. More particularly, the fundamental theorem for relative Hom-Hopf modules is proved under the assumption that the Hom-comodule algebra is cleft. Moreover, Maschke's theorem for relative Hom-Hopf modules is established when there is a multiplicative total Hom-integral.

Kategorie tematyczne

• 16T25: Yang-Baxter equations
• 17A30: Algebras satisfying other identities
• 16T05: Hopf algebras and their applications

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 144
• Numer: 1
• Strony: 55-71

Daty

wydano

2016

Twórcy

autor

Yuanyuan Chen

• College of Science, Nanjing Agricultural University, Nanjing 210095, P.R. China

autor

Zhongwei Wang

• Department of Basic Science, Jinling Institute of Technology, Nanjing 210069, P.R. China

autor

Liangyun Zhang

• College of Science, Nanjing Agricultural University, Nanjing 210095, P.R. China

Identyfikatory

DOI

10.4064/cm6514-11-2015