Structure Theorem for Dual Quasi-Hopf Bicomodules and Its Application
Matematičeskie zametki, Tome 94 (2013) no. 4, pp. 506-520

Voir la notice de l'article provenant de la source Math-Net.Ru

We present a structure theorem for dual quasi-Hopf bicomodules, and also obtain the structure theorem $C\cong D\rtimes H$ for dual quasi-Hopf module coalgebras, where $H$ is a dual quasi-Hopf algebra, $C$ a right $H$-module coalgebra, and $D$ a left $H$-comodule coalgebra in the tensor category $^{H}\mathcal{M}$ induced from $C$, and $D\rtimes H$ the smash coproduct introduced by Bulacu and Nauwelaerts.
Mots-clés : dual quasi-Hopf bicomodules, Hopf module coalgebras, comodule coalgebras
Keywords: smash coproducts.
@article{MZM_2013_94_4_a2,
     author = {Yu. Wang and L. Yu. Zhang and R. F. Niu},
     title = {Structure {Theorem} for {Dual} {Quasi-Hopf} {Bicomodules} and {Its} {Application}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {506--520},
     publisher = {mathdoc},
     volume = {94},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_94_4_a2/}
}
TY  - JOUR
AU  - Yu. Wang
AU  - L. Yu. Zhang
AU  - R. F. Niu
TI  - Structure Theorem for Dual Quasi-Hopf Bicomodules and Its Application
JO  - Matematičeskie zametki
PY  - 2013
SP  - 506
EP  - 520
VL  - 94
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2013_94_4_a2/
LA  - ru
ID  - MZM_2013_94_4_a2
ER  - 
%0 Journal Article
%A Yu. Wang
%A L. Yu. Zhang
%A R. F. Niu
%T Structure Theorem for Dual Quasi-Hopf Bicomodules and Its Application
%J Matematičeskie zametki
%D 2013
%P 506-520
%V 94
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2013_94_4_a2/
%G ru
%F MZM_2013_94_4_a2
Yu. Wang; L. Yu. Zhang; R. F. Niu. Structure Theorem for Dual Quasi-Hopf Bicomodules and Its Application. Matematičeskie zametki, Tome 94 (2013) no. 4, pp. 506-520. http://geodesic.mathdoc.fr/item/MZM_2013_94_4_a2/