Homological Dimension of Crossed Products

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We obtain that the global dimensions of $R$ and the crossed product $R # _σH$ are the same; meantime, their weak dimensions are also the same, when $H$ is finite-dimensional semisimple and cosemisimple Hopf algebra.
13page

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Quantum Algebra, Rings and Algebras, 16w30

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http://salesiana.dossiersoluciones.com/handle/123456789/69387

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311520
 http://arxiv.org/abs/math/0311520
 Chinese Math. Ann. 22A(2001), 767--772

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arXiv