Separable functors for the category of Doi Hom-Hopf modules
Shuangjian Guo ; Xiaohui Zhang
Colloquium Mathematicae, Tome 144 (2016), p. 23-37 / Harvested from The Polish Digital Mathematics Library
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Let ̃(k)(H)AC be the category of Doi Hom-Hopf modules, ̃(k)A be the category of A-Hom-modules, and F be the forgetful functor from ̃(k)(H)AC to ̃(k)A. The aim of this paper is to give a necessary and suffcient condition for F to be separable. This leads to a generalized notion of integral. Finally, applications of our results are given. In particular, we prove a Maschke type theorem for Doi Hom-Hopf modules.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:284148 
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     author = {Shuangjian Guo and Xiaohui Zhang},
     title = {Separable functors for the category of Doi Hom-Hopf modules},
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     volume = {144},
     year = {2016},
     pages = {23-37},
     zbl = {1341.16032},
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Shuangjian Guo; Xiaohui Zhang. Separable functors for the category of Doi Hom-Hopf modules. Colloquium Mathematicae, Tome 144 (2016) pp. 23-37. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm6382-12-2015/