Singular equivalences induced by ring extensions
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911803201552384 |
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| author | Qin, Yongyun |
| author_facet | Qin, Yongyun |
| contents | Let $B \subseteq A$ be an extension of finite dimensional algebras. We provide a sufficient condition for the existence of triangle equivalences of singularity categories (resp. Gorenstein defect categories) between $A$ and $B$. This result is applied to trivial extensions, Morita rings and triangular matrix algebras to give several reduction methods on singularity categories and Gorenstein defect categories of algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12412 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Singular equivalences induced by ring extensions Qin, Yongyun Representation Theory Rings and Algebras Let $B \subseteq A$ be an extension of finite dimensional algebras. We provide a sufficient condition for the existence of triangle equivalences of singularity categories (resp. Gorenstein defect categories) between $A$ and $B$. This result is applied to trivial extensions, Morita rings and triangular matrix algebras to give several reduction methods on singularity categories and Gorenstein defect categories of algebras. |
| title | Singular equivalences induced by ring extensions |
| topic | Representation Theory Rings and Algebras |
| url | https://arxiv.org/abs/2403.12412 |