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 - <p style="text-align: justify;">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 $A$.</p>