THE STRUCTURE THEOREM OF HOM-HOPF BIMODULES AND ITS APPLICATIONS

Year 2021, Volume: 30 Issue: 30, 78 - 98, 17.07.2021

Huihui Zheng Yuanyuan Chen Liangyun Zhang

https://doi.org/10.24330/ieja.969590

Abstract

In this paper, we give the structure theorem of Hom-Hopf bimodules. Furthermore, we give the structure theorem of Hom-comodule algebras.
Finally, we consider and study the structure theorems of Hom-Hopf bicomodules and Hom-module coalgebras.

Keywords

Monoidal Hom-Hopf algebra, Hom-Hopf bimodule, Hom-comodule algebra, Hom-Hopf bicomodule, Hom-module coalgebra

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