Flat morphisms of finite presentation are very flat

DOI10.1007/s10231-019-00905-1zbMath1448.13025arXiv1708.00846OpenAlexW2743174040WikidataQ127209360 ScholiaQ127209360MaRDI QIDQ2183511

Alexander Slávik, L. E. Positsel'skiĭ

Publication date: 27 May 2020

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.00846

zbMATH Keywords

flat modulescotorsion theoriescommutative ringscontramodulesapproximation sequencescontraadjusted modulesfinitely presented commutative algebrasfinitely very flat modulesflat morphisms of schemessurjective descentvery flat modulesvery flat morphisms of schemes

Mathematics Subject Classification ID

Complete rings, completion (13J10) Rings of fractions and localization for commutative rings (13B30) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25) Module categories and commutative rings (13C60)

Related Items

Flat commutative ring epimorphisms of almost Krull dimension zero ⋮ Covering classes and 1-tilting cotorsion pairs over commutative rings ⋮ On strongly flat and weakly cotorsion modules ⋮ Countably generated flat modules are quite flat ⋮ Remarks on derived complete modules and complexes ⋮ Local, colocal, and antilocal properties of modules and complexes over commutative rings ⋮ \(S\)-almost perfect commutative rings ⋮ QUILLEN EQUIVALENT MODELS FOR THE DERIVED CATEGORY OF FLATS AND THE RESOLUTION PROPERTY

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