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arXiv · 2309.01687

Derived Complete Complexes at Weakly Proregular Ideals

Amnon Yekutieli
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Abstract

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.

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BibTeXRIS

Amnon Yekutieli. 2024-08-03. Derived Complete Complexes at Weakly Proregular Ideals. https://arxiv.org/abs/2309.01687

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