The Radicals of Crossed Products

Details The Radicals of Crossed Products The Radicals of Crossed Products

2003-11-28

arxiv.org/abs/math/0311530v1

Mathematics

Quantum Algebra

24pages

Scientific paper

The relations between the radical of crossed product $R #_\sigma H$ 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
$R#_{\sigma}H$ is semiprime.

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