The Radicals of Crossed Products
Shouchuan Zhang
Abstract
The relations between the radical of crossed product R #σH and algebra R are obtained. Using this theory, the author shows that if H is a finite-dimensional semisimple, cosemisimle, and either commutative or cocommutative Hopf algebra, then R is H-semiprime iff R is semiprime iff R#σH is semiprime.
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