On the generalized principal ideal theorem and Krull domains

DOI10.2140/pjm.1990.146.201zbMath0746.13007OpenAlexW2028805990MaRDI QIDQ1175112

Paul M. jun. Eakin, David F. Anderson, David E. Dobbs, William J. Heinzer

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.2140/pjm.1990.146.201

zbMATH Keywords

Noetherian domaingroup ringgeneralized principal ideal theorem\(R\)-sequenceintegral extension of domains

Mathematics Subject Classification ID

Principal ideal rings (13F10) Integral domains (13G05)

Related Items (9)

A generalized principal ideal theorem ⋮ Open Problems in Commutative Ring Theory ⋮ Transfer of the GPIT property in pullbacks ⋮ On the prime ideal structure of symbolic Rees algebras ⋮ Direct limits of Cohen-Macaulay rings ⋮ Krull's principal ideal theorem in non-Noetherian settings ⋮ A NOTE ON INTEGRAL DOMAINS WITH Na-GENERATED QUOTIENT FIELDS ⋮ On the notion of Cohen-Macaulayness for non-Noetherian rings ⋮ GENERALIZED PRINCIPAL IDEAL THEOREM FOR MODULES

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