Geodesic
Separable functors for the category of Doi Hom-Hopf modules
Shuangjian Guo1 ; Xiaohui Zhang2
1 School of Mathematics and Statistics Guizhou University of Finance and Economics Guiyang, 550025, P.R. China
2 School of Mathematical Sciences Qufu Normal University Qufu, Shandong 273165, P.R. China
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.
DOI : 10.4064/cm6382-12-2015
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

Shuangjian Guo 1 ; Xiaohui Zhang 2

1 School of Mathematics and Statistics Guizhou University of Finance and Economics Guiyang, 550025, P.R. China
2 School of Mathematical Sciences Qufu Normal University Qufu, Shandong 273165, P.R. China 
@article{10_4064_cm6382_12_2015,
     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/}
}
TY  - JOUR
AU  - Shuangjian Guo
AU  - Xiaohui Zhang
TI  - Separable functors for the category of Doi Hom-Hopf modules
JO  - Colloquium Mathematicum
PY  - 2016
SP  - 23
EP  - 37
VL  - 143
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm6382-12-2015/
DO  - 10.4064/cm6382-12-2015
LA  - en
ID  - 10_4064_cm6382_12_2015
ER  - 
%0 Journal Article
%A Shuangjian Guo
%A Xiaohui Zhang
%T Separable functors for the category of Doi Hom-Hopf modules
%J Colloquium Mathematicum
%D 2016
%P 23-37
%V 143
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm6382-12-2015/
%R 10.4064/cm6382-12-2015
%G en
%F 10_4064_cm6382_12_2015
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. http://geodesic.mathdoc.fr/articles/10.4064/cm6382-12-2015/

Cité par Sources :