| Title:
|
Weak dimensions and Gorenstein weak dimensions of group rings (English) |
| Author:
|
Xiang, Yueming |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
71 |
| Issue:
|
3 |
| Year:
|
2021 |
| Pages:
|
803-816 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
weak dimension |
| Keyword:
|
Gorenstein weak dimension |
| Keyword:
|
principal module |
| Keyword:
|
group ring |
| MSC:
|
16E10 |
| MSC:
|
16E30 |
| MSC:
|
16S34 |
| idZBL:
|
07396198 |
| idMR:
|
MR4295246 |
| DOI:
|
10.21136/CMJ.2021.0102-20 |
| . |
| Date available:
|
2021-08-02T08:07:06Z |
| Last updated:
|
2023-10-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149057 |
| . |
| Reference:
|
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| . |
