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math.KT2022
Non-unital algebraic -theory and almost mathematics
Yuki Kato
The Gersten conjecture is still an open problem of algebraic -theory for mixed characteristic discrete valuation rings. In this paper, we establish non-unital algebraic -theo…
math.KT2022
Algebraic -theory and algebraic cobordism of almost mathematics
Yuki Kato
Faltings; Gabber and Ramero introduced almost mathematics. In another way, almost mathematics can be characterized bilocalization abelian category of modules mentioned in Quillen's…