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Volume 34, Issue 2
Cotorsion Dimension of Weak Crossed Products

Huaxi Chen & Jinrong Liang

DOI: 10.13447/j.1674-5647.2018.02.05

Commun. Math. Res., 34 (2018), pp. 133-140.

Published online: 2019-12

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  • Abstract

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 $A$.

  • Keywords

weak crossed product, cotorsion dimension, projective resolution

  • AMS Subject Headings

16T05, 18G15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-34-133, author = {Chen , Huaxi and Liang , Jinrong}, title = {Cotorsion Dimension of Weak Crossed Products}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {34}, number = {2}, pages = {133--140}, abstract = {

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} }
TY - JOUR T1 - Cotorsion Dimension of Weak Crossed Products AU - Chen , Huaxi AU - Liang , Jinrong JO - Communications in Mathematical Research VL - 2 SP - 133 EP - 140 PY - 2019 DA - 2019/12 SN - 34 DO - http://doi.org/10.13447/j.1674-5647.2018.02.05 UR - https://global-sci.org/intro/article_detail/cmr/13519.html KW - weak crossed product, cotorsion dimension, projective resolution AB -

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 $A$.

Chen , Huaxi and Liang , Jinrong. (2019). Cotorsion Dimension of Weak Crossed Products. Communications in Mathematical Research . 34 (2). 133-140. doi:10.13447/j.1674-5647.2018.02.05
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