Ascending the divided and going-down properties by absolute flatness

DOI10.1007/s40065-012-0008-3zbMath1310.13014OpenAlexW2000284438WikidataQ59270827 ScholiaQ59270827MaRDI QIDQ1925588

Gabriel Picavet

Publication date: 18 December 2012

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-012-0008-3

zbMATH Keywords

integral extensionsétale morphisms``divided ring property``going-down ring propertyabsolutely flat ring morphismsascent by absolutely flat morphismshenselizations

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Integral dependence in commutative rings; going up, going down (13B21) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Relevant commutative algebra (14A05) Étale and flat extensions; Henselization; Artin approximation (13B40)

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