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Keywords:
weak dimension; Gorenstein weak dimension; principal module; group ring
weak dimension; Gorenstein weak dimension; principal module; group ring
Summary:
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.
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