Commun. Math. Res., 34 (2018), pp. 133-140.
Published online: 2019-12
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Let $H$ be a finite-dimensional weak Hopf algebra over a field $k$ and $A$ an associative algebra, and $A\#_{\sigma}H$ a weak crossed product. In this paper, a spectral sequence for Ext is constructed which yields an estimate for cotorsion dimension of $A\#_{\sigma}H$ in terms of the corresponding data for $H$ and $A$.
}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2018.02.05}, url = {http://global-sci.org/intro/article_detail/cmr/13519.html} }Let $H$ be a finite-dimensional weak Hopf algebra over a field $k$ and $A$ an associative algebra, and $A\#_{\sigma}H$ a weak crossed product. In this paper, a spectral sequence for Ext is constructed which yields an estimate for cotorsion dimension of $A\#_{\sigma}H$ in terms of the corresponding data for $H$ and $A$.