Notes on three integral dependence theorems

DOI10.1016/0021-8693(80)90107-6zbMath0444.13003OpenAlexW2051124637MaRDI QIDQ1144610

Louis J. jun. Ratliff

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90107-6

zbMATH Keywords

heightaltitudeintegral extensionflat moduleQSMpolynomial extension ringquasi-local domain

Mathematics Subject Classification ID

Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Local rings and semilocal rings (13H99)

Related Items (2)

Perinormality -- a generalization of Krull domains ⋮ Six notes on chains of prime ideals

Cites Work

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• Four notes on saturated chains of prime ideals
• Chain conjectures in ring theory. An exposition of conjectures on catenary chains
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
• Ramification Theoretic Methods in Algebraic Geometry (AM-43)
• Notes on Local Integral Extension Domains
• A Theorem on Finite Generation of a Ring
• Some Properties of Integral Closure
• Note on coefficient fields of complete local rings
• On prime divisors of the integral closure of a principal ideal.

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