On Hausdorff completions of commutative rings in rigid geometry

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Abstract

We give and investigate general and feasible classes of adically topologized rings, which afford nice properties similarly to the Noetherian case, thus giving appropriate classes of adic rings for broad applications in formal and rigid geometries. © 2011 Elsevier Inc.

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Fujiwara, K., Gabber, O., & Kato, F. (2011). On Hausdorff completions of commutative rings in rigid geometry. Journal of Algebra, 332(1), 293–321. https://doi.org/10.1016/j.jalgebra.2011.02.001

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