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math.AC2020★ 4 cited
A variant of perfectoid Abhyankar's lemma and almost Cohen-Macaulay algebras
Kei Nakazato, Kazuma Shimomoto
In this paper, we prove that a complete Noetherian local domain of mixed characteristic with perfect residue field has an integral extension that is an integrally closed, alm…
math.AC2020
Finite étale extension of Tate rings and decompletion of perfectoid algebras
Kei Nakazato, Kazuma Shimomoto
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 completeness of a base ri…