The Radicals of Crossed Products

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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.
24pages

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Quantum Algebra, Rings and Algebras, 16A30

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http://salesiana.dossiersoluciones.com/handle/123456789/69395

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311530
 http://arxiv.org/abs/math/0311530

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arXiv