%0 Journal Article %T Twistings, crossed coproducts, and Hopf-Galois coextensions %A S. Caenepeel %A Dingguo Wang %A Yanxin Wang %J International Journal of Mathematics and Mathematical Sciences %D 2003 %I Hindawi Publishing Corporation %R 10.1155/s0161171203212400 %X Let H be a Hopf algebra. Ju and Cai (2000) introduced the notion of twisting of an H-module coalgebra. In this paper, we study the relationship between twistings, crossed coproducts, and Hopf-Galois coextensions. In particular, we show that a twisting of an H-Galois coextension remains H-Galois if the twisting is invertible. %U http://www.hindawi.com/journals/ijmms/2003/214195/abs/