Geodesic
Weak dimensions and Gorenstein weak dimensions of group rings
Czechoslovak Mathematical Journal, Tome 71 (2021) no. 3, pp. 803-816

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Let $K$ be a field, and let $G$ be a group. In the present paper, we investigate when the group ring $K[G]$ has finite weak dimension and finite Gorenstein weak dimension. We give some analogous versions of Serre's theorem for the weak dimension and the Gorenstein weak dimension.
DOI : 10.21136/CMJ.2021.0102-20
Classification : 16E10, 16E30, 16S34
Keywords: weak dimension; Gorenstein weak dimension; principal module; group ring 
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     title = {Weak dimensions and {Gorenstein} weak dimensions  of group rings},
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Xiang, Yueming. Weak dimensions and Gorenstein weak dimensions  of group rings. Czechoslovak Mathematical Journal, Tome 71 (2021) no. 3, pp. 803-816. doi: 10.21136/CMJ.2021.0102-20

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