Openness with respect to levels in triangulated categories
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_ | 1866909617481580544 |
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| author | Dey, Souvik Liu, Jian Shaul, Liran |
| author_facet | Dey, Souvik Liu, Jian Shaul, Liran |
| contents | Given a compactly generated triangulated category $\mathcal{T}$ equipped with an action of a graded-commutative Noetherian ring $R$, generalizing results of Letz, we prove a general result concerning the openness with respect to levels of compact objects in $\mathcal{T}$. Applications are given to derived categories of commutative Noetherian rings, derived categories of commutative Noetherian DG rings and singularity categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14353 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Openness with respect to levels in triangulated categories Dey, Souvik Liu, Jian Shaul, Liran Commutative Algebra Category Theory Rings and Algebras Primary 18G80, Secondary 13D09, 16E45, 18E35 Given a compactly generated triangulated category $\mathcal{T}$ equipped with an action of a graded-commutative Noetherian ring $R$, generalizing results of Letz, we prove a general result concerning the openness with respect to levels of compact objects in $\mathcal{T}$. Applications are given to derived categories of commutative Noetherian rings, derived categories of commutative Noetherian DG rings and singularity categories. |
| title | Openness with respect to levels in triangulated categories |
| topic | Commutative Algebra Category Theory Rings and Algebras Primary 18G80, Secondary 13D09, 16E45, 18E35 |
| url | https://arxiv.org/abs/2505.14353 |