Volume 34, Issue 2
Cotorsion Dimension of Weak Crossed Products

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

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COPYRIGHT: © Global Science Press

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@Article{CMR-34-133, author = {Huaxi and Chen and and 6007 and Department of Mathematics and Physics, Bengbu College, Bengbu, Anhui, 233000 and Huaxi Chen and Jinrong and Liang and and 6008 and Department of Basic Courses, Chuzhou Institute of Technology, Chuzhou, Anhui, 239000 and Jinrong Liang}, 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 $A$.

Huaxi Chen & Jinrong Liang. (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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