On Extension modules of finite homological dimension
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915787388747776 |
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| author | Holanda, Rafael Jorge-Pérez, Victor H. Mendoza-Rubio, Victor D. |
| author_facet | Holanda, Rafael Jorge-Pérez, Victor H. Mendoza-Rubio, Victor D. |
| contents | We explore the implications of the finiteness of homological dimensions for Ext modules, focusing on projective dimension, injective dimension, and their Gorenstein counterpart. In this direction, we establish several finiteness criteria for homological dimensions. Under such finiteness conditions, our main result is a new duality for certain Ext modules when tensored by canonical modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_15224 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Extension modules of finite homological dimension Holanda, Rafael Jorge-Pérez, Victor H. Mendoza-Rubio, Victor D. Commutative Algebra 13D05, 13D07, 13H10 (Primary) We explore the implications of the finiteness of homological dimensions for Ext modules, focusing on projective dimension, injective dimension, and their Gorenstein counterpart. In this direction, we establish several finiteness criteria for homological dimensions. Under such finiteness conditions, our main result is a new duality for certain Ext modules when tensored by canonical modules. |
| title | On Extension modules of finite homological dimension |
| topic | Commutative Algebra 13D05, 13D07, 13H10 (Primary) |
| url | https://arxiv.org/abs/2504.15224 |