On the category of cofinite complexes and modules
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909575810121728 |
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| author | Sazeedeh, Reza |
| author_facet | Sazeedeh, Reza |
| contents | Let $A$ be a commutative noetherian ring, let $\mathfrak a$ be an ideal of $A$. In this paper, we extend Hartshorne's characterization of cofinite complexes to more general classes of rings. We also determine conditions under which Hartshorne's fourth question [H1] admits an affirmative answer. Finally, we investigate the cofiniteness of complexes of $\frak a$-cofinite modules for rings of lower dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_05771 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the category of cofinite complexes and modules Sazeedeh, Reza Commutative Algebra 13D02, 13D45, 18G10 Let $A$ be a commutative noetherian ring, let $\mathfrak a$ be an ideal of $A$. In this paper, we extend Hartshorne's characterization of cofinite complexes to more general classes of rings. We also determine conditions under which Hartshorne's fourth question [H1] admits an affirmative answer. Finally, we investigate the cofiniteness of complexes of $\frak a$-cofinite modules for rings of lower dimensions. |
| title | On the category of cofinite complexes and modules |
| topic | Commutative Algebra 13D02, 13D45, 18G10 |
| url | https://arxiv.org/abs/2301.05771 |