arXiv · math/0311520
Homological Dimension of Crossed Products
Abstract
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.
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Shouchuan Zhang. 2003-11-28. Homological Dimension of Crossed Products. https://arxiv.org/abs/math/0311520
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