The Radicals of Crossed Products
arXiv:math/0311530
Abstract
The relations between the radical of crossed product $R #_σH$ and algebra are obtained. Using this theory, the author shows that if is a finite-dimensional semisimple, cosemisimle, and either commutative or cocommutative Hopf algebra, then is -semiprime iff is semiprime iff $R#_σH$ is semiprime.
24pages