On Hausdorff completions of commutative rings in rigid geometry

DOI10.1016/j.jalgebra.2011.02.001zbMath1230.13021OpenAlexW1994089197MaRDI QIDQ645256

Fumiharu Kato, Ofer Gabber, Kazuhiro Fujiwara

Publication date: 8 November 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.02.001

zbMATH Keywords

adic topologyrigid analytic geometry

Mathematics Subject Classification ID

Analytical algebras and rings (13J07) Rigid analytic geometry (14G22) Complete rings, completion (13J10) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (4)

Counter-examples to non-noetherian Elkik's approximation theorem ⋮ The six functors for Zariski-constructible sheaves in rigid geometry ⋮ On nonarchimedean Banach fields ⋮ Faithfully flat descent of almost perfect complexes in rigid geometry

Cites Work

• Almost ring theory
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
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