Separable functors for the category of Doi Hom-Hopf modules
Colloquium Mathematicum, Tome 143 (2016) no. 1, pp. 23-37
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Let $\widetilde{\mathscr{H}}(\mathscr{M}_k)(H)^{C}_{A}$ be the category of Doi Hom-Hopf modules,
$\widetilde{\mathscr{H}}(\mathscr{M}_k)_{A}$ be the category of $A$-Hom-modules,
and $F$ be the forgetful functor from $\widetilde{\mathscr{H}}(\mathscr{M}_k)(H)^{C}_{A}$ to
$\widetilde{\mathscr{H}}(\mathscr{M}_k)_{A}$.
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.
Keywords:
widetilde mathscr mathscr category doi hom hopf modules widetilde mathscr mathscr category a hom modules forgetful functor widetilde mathscr mathscr widetilde mathscr mathscr paper necessary suffcient condition separable leads generalized notion integral finally applications results given particular prove maschke type theorem doi hom hopf modules
Affiliations des auteurs :
Shuangjian Guo 1 ; Xiaohui Zhang 2
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author = {Shuangjian Guo and Xiaohui Zhang},
title = {Separable functors for the category of {Doi} {Hom-Hopf} modules},
journal = {Colloquium Mathematicum},
pages = {23--37},
publisher = {mathdoc},
volume = {143},
number = {1},
year = {2016},
doi = {10.4064/cm6382-12-2015},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm6382-12-2015/}
}
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Shuangjian Guo; Xiaohui Zhang. Separable functors for the category of Doi Hom-Hopf modules. Colloquium Mathematicum, Tome 143 (2016) no. 1, pp. 23-37. doi: 10.4064/cm6382-12-2015
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