2 papers
math.AC2026
On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring
Ryo Ishizuka, Léo Navarro Chafloque
We study general properties of the perfectoidization of finite algebras over a perfectoid ring, which helps to understand some precise and explicit descriptions. For example, we pr…
math.AC2026
Decomposition Theorem for Perfectoid Rings along General Ideals
Ryo Ishizuka, Léo Navarro Chafloque
Using André's lemma and the excision square for perfectoidization coming from -complete arc descent, we prove new structural results about perfectoid rings and perfectoidizatio…