## Weak dimensions and Gorenstein weak dimensions of group rings.(English)Zbl 07396198

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.

### MSC:

 16S34 Group rings 16E10 Homological dimension in associative algebras 16E30 Homological functors on modules (Tor, Ext, etc.) in associative algebras
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### References:

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