Search Results - "Nakazato, Kei"

Finite étale extensions of Tate rings and decompletion of perfectoid algebras by Nakazato, Kei, Shimomoto, Kazuma

“…In this paper, we examine the behavior of ideal-adic separatedness and completeness under certain ring extensions using trace map. Then we prove that adic…”
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Prismatic Kunz's theorem by Ishizuka, Ryo, Nakazato, Kei

“…In this paper, we prove "prismatic Kunz's theorem" which states that a complete Noetherian local ring $R$ of residue characteristic $p$ is a regular local ring…”
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Counter-examples to non-noetherian Elkik's approximation theorem by Nakazato, Kei

“…Elkik established a remarkable theorem that can be applied for any noetherian henselian ring. For algebraic equations with a formal solution (restricted by…”
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A variant of perfectoid Abhyankar's lemma and almost Cohen-Macaulay algebras by Nakazato, Kei, Shimomoto, Kazuma

“…In this paper, we prove that a complete Noetherian local domain of mixed characteristic $p>0$ with perfect residue field has an integral extension that is an…”
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Finite \'etale extension of Tate rings and decompletion of perfectoid algebras by Nakazato, Kei, Shimomoto, Kazuma

“…In this paper, we examine the behavior of ideal-adic separatedness and completeness under certain ring extensions using trace map. Then we prove that adic…”
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Perfectoid towers and their tilts : with an application to the \'etale cohomology groups of local log-regular rings by Ishiro, Shinnosuke, Nakazato, Kei, Shimomoto, Kazuma

“…To initiate a systematic study on the applications of perfectoid methods to Noetherian rings, we introduce the notions of perfectoid towers and their tilts. We…”
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