Extension dimensions under singular equivalences and recollements
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909490904825856 |
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| author | Zhang, Jinbi Zheng, Junling |
| author_facet | Zhang, Jinbi Zheng, Junling |
| contents | The extension dimensions of an Artin algebra give a reasonable way of measuring how far an algebra is from being representation-finite. In this paper we mainly study extension dimensions linked by recollements of derived module categories and singular equivalences of Morita type with level, and establish a series of new inequalities and relationships among their extension dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09009 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extension dimensions under singular equivalences and recollements Zhang, Jinbi Zheng, Junling Representation Theory Rings and Algebras The extension dimensions of an Artin algebra give a reasonable way of measuring how far an algebra is from being representation-finite. In this paper we mainly study extension dimensions linked by recollements of derived module categories and singular equivalences of Morita type with level, and establish a series of new inequalities and relationships among their extension dimensions. |
| title | Extension dimensions under singular equivalences and recollements |
| topic | Representation Theory Rings and Algebras |
| url | https://arxiv.org/abs/2502.09009 |