Derived Complete Complexes at Weakly Proregular Ideals
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866914898272845824 |
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| author | Yekutieli, Amnon |
| author_facet | Yekutieli, Amnon |
| contents | Weak proregularity of an ideal in a commutative ring is a subtle generalization of the noetherian property of the ring. Weak proregularity is of special importance for the study of derived completion, and it occurs quite often in non-noetherian rings arising in Hochschild and prismatic cohomologies.
This paper is about several related topics: adically flat modules, recognizing derived complete complexes, the structure of the category of derived complete complexes, and a derived complete Nakayama theorem - all with respect to a weakly proregular ideal; and the preservation of weak proregularity under completion of the ring. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_01687 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Derived Complete Complexes at Weakly Proregular Ideals Yekutieli, Amnon Commutative Algebra Category Theory K-Theory and Homology 13D09 Weak proregularity of an ideal in a commutative ring is a subtle generalization of the noetherian property of the ring. Weak proregularity is of special importance for the study of derived completion, and it occurs quite often in non-noetherian rings arising in Hochschild and prismatic cohomologies. This paper is about several related topics: adically flat modules, recognizing derived complete complexes, the structure of the category of derived complete complexes, and a derived complete Nakayama theorem - all with respect to a weakly proregular ideal; and the preservation of weak proregularity under completion of the ring. |
| title | Derived Complete Complexes at Weakly Proregular Ideals |
| topic | Commutative Algebra Category Theory K-Theory and Homology 13D09 |
| url | https://arxiv.org/abs/2309.01687 |