Abstract:
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.
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