The resolution quiver of Nakayama algebras which are minimal Auslander-Gorenstein
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917381467537408 |
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| author | Shen, Dawei |
| author_facet | Shen, Dawei |
| contents | Let $A$ be a Nakayama algebra. Using Ringel's resolution quiver, we give a criterion to decide whether $A$ is minimal Auslander-Gorenstein. The criterion strongly relies on the parity of the selfinjective dimension of $A$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14180 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The resolution quiver of Nakayama algebras which are minimal Auslander-Gorenstein Shen, Dawei Representation Theory 16E10, 16G20 Let $A$ be a Nakayama algebra. Using Ringel's resolution quiver, we give a criterion to decide whether $A$ is minimal Auslander-Gorenstein. The criterion strongly relies on the parity of the selfinjective dimension of $A$. |
| title | The resolution quiver of Nakayama algebras which are minimal Auslander-Gorenstein |
| topic | Representation Theory 16E10, 16G20 |
| url | https://arxiv.org/abs/2511.14180 |