Title: Weak Proregularity, Derived Completion, Adic Flatness, and Prisms
Author: Amnon Yekutieli
Publication status: J. Algebra, Available online 7 May 2021

DOI https://doi.org/10.1016/j.jalgebra.2021.04.033

eprint https://arxiv.org/abs/2002.04901

Abstract: This paper has two parts. In the first part we recall the important role that weak proregularity of an ideal in a commutative ring has in derived completion and in adic flatness. In the second part we prove that weak proregularity occurs in the context of prisms, in the sense of Bhatt and Scholze. We anticipate that the concept of weak proregularity will help simplify or improve some of the more technical aspects of the new theory of prisms.

updated 13 May 2021