The fundamental theorem and Maschke's theorem in the category of relative Hom-Hopf modules
Yuanyuan Chen ; Zhongwei Wang ; Liangyun Zhang
Colloquium Mathematicae, Tome 144 (2016), p. 55-71 / Harvested from The Polish Digital Mathematics Library
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We introduce the concept of relative Hom-Hopf modules and investigate their structure in a monoidal category ̃(ℳk). 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.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:283715 
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     title = {The fundamental theorem and Maschke's theorem in the category of relative Hom-Hopf modules},
     journal = {Colloquium Mathematicae},
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     year = {2016},
     pages = {55-71},
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     language = {en},
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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 Mathematicae, Tome 144 (2016) pp. 55-71. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm6514-11-2015/