Gorenstein injective filtrations over rings with dualizing complexes
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866912291396517888 |
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| author | Sazeedeh, Reza |
| author_facet | Sazeedeh, Reza |
| contents | Let $R$ be a commutative noetherian ring. Enochs and Huang [EH] proved that over a Gorenstein ring of Krull dimension $d$, every Gorenstein injective module admits a finite filtration of Gorenstein injective submodules. In this paper, we extend this result to rings admitting a dualizing complex and we provide such filtrations using Auslander categories and section functors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07987 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gorenstein injective filtrations over rings with dualizing complexes Sazeedeh, Reza Commutative Algebra 13D02, 13D09, 13D45 Let $R$ be a commutative noetherian ring. Enochs and Huang [EH] proved that over a Gorenstein ring of Krull dimension $d$, every Gorenstein injective module admits a finite filtration of Gorenstein injective submodules. In this paper, we extend this result to rings admitting a dualizing complex and we provide such filtrations using Auslander categories and section functors. |
| title | Gorenstein injective filtrations over rings with dualizing complexes |
| topic | Commutative Algebra 13D02, 13D09, 13D45 |
| url | https://arxiv.org/abs/2401.07987 |