The fundamental theorem and Maschke's theorem in the category of relative Hom-Hopf modules (Q2804275)
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scientific article; zbMATH DE number 6574991
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The fundamental theorem and Maschke's theorem in the category of relative Hom-Hopf modules |
scientific article; zbMATH DE number 6574991 |
Statements
28 April 2016
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monoidal Hom-Hopf algebras
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relative Hom-Hopf modules
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fundamental theorem
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Maschke's theorem
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0.93718636
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0.91449434
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0.9071968
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0.9051819
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0.9003215
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0.9002446
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The fundamental theorem and Maschke's theorem in the category of relative Hom-Hopf modules (English)
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Hopf modules are known to be important in the theory of Hopf algebras. As a generalization of Hopf modules, relative Hopf modules were introduced by \textit{Y. Doi} [Commun. Algebra 11, 243--255 (1983; Zbl 0502.16009)]. The paper under review is to introduce the concept of relative Hom-Hopf modules and investigate the structure theorem and Maschke's theorem for them via generalized Hom-integrals. The fundamental theorem for relative Hom-Hopf modules is proved under the assumption that the Hom-comodule algebra is cleft.
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