Geodesic
The fundamental theorem and Maschke’s theorem in the category of relative Hom-Hopf modules
Yuanyuan Chen1 ; Zhongwei Wang2 ; Liangyun Zhang1
1 College of Science Nanjing Agricultural University Nanjing 210095, P.R. China
2 Department of Basic Science Jinling Institute of Technology Nanjing 210069, P.R. China
Colloquium Mathematicum, Tome 144 (2016) no. 1, pp. 55-71.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We introduce the concept of relative Hom-Hopf modules and investigate their structure in a monoidal category $\widetilde{\mathcal{H}}(\mathcal{M}_{k})$. 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.
DOI : 10.4064/cm6514-11-2015
Keywords: introduce concept relative hom hopf modules investigate their structure monoidal category widetilde mathcal mathcal particularly fundamental theorem relative hom hopf modules proved under assumption hom comodule algebra cleft moreover maschke theorem relative hom hopf modules established there multiplicative total hom integral

Yuanyuan Chen 1 ; Zhongwei Wang 2 ; Liangyun Zhang 1

1 College of Science Nanjing Agricultural University Nanjing 210095, P.R. China
2 Department of Basic Science Jinling Institute of Technology Nanjing 210069, P.R. China 
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Yuanyuan Chen; Zhongwei Wang; Liangyun Zhang. The fundamental theorem and Maschke’s theorem in the category of relative Hom-Hopf modules. Colloquium Mathematicum, Tome 144 (2016) no. 1, pp. 55-71. doi : 10.4064/cm6514-11-2015. http://geodesic.mathdoc.fr/articles/10.4064/cm6514-11-2015/

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