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