Regular rings and perfect(oid) algebras

DOI10.1080/00927872.2018.1524009zbMath1469.13031arXiv1803.03229OpenAlexW2963811469WikidataQ101095905 ScholiaQ101095905MaRDI QIDQ5379443

Linquan Ma, Bhargav Bhatt, Srikanth B. Iyengar

Publication date: 12 June 2019

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

Full work available at URL: https://arxiv.org/abs/1803.03229

zbMATH Keywords

regular ringabsolute integral closureperfect ringflat dimensionperfect closureperfectoid ring

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Homological conjectures (intersection theorems) in commutative ring theory (13D22) Regular local rings (13H05)

Related Items (9)

Prismatic Dieudonné Theory ⋮ Coherence of absolute integral closures ⋮ On the canonical, fpqc, and finite topologies on affine schemes. The state of the art ⋮ An analogue of adjoint ideals and PLT singularities in mixed characteristic ⋮ A VARIANT OF PERFECTOID ABHYANKAR’S LEMMA AND ALMOST COHEN–MACAULAY ALGEBRAS ⋮ Some recent advances in topological Hochschild homology ⋮ Vanishing of Tors of absolute integral closures in equicharacteristic zero ⋮ Singularities in mixed characteristic. The perfectoid approach ⋮ A Kunz-type characterization of regular rings via alterations

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