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A non-catenary, normal, local domain

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Publication:1163598
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DOI10.1216/RMJ-1982-12-1-145zbMath0484.13010OpenAlexW1970754083MaRDI QIDQ1163598

Raymond C. Heitmann

Publication date: 1982

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1982-12-1-145

zbMATH Keywords

noetherian domaincounterexample to chain conjecturenon-catenary integrally closed local domain


Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Local rings and semilocal rings (13H99) Chain conditions, finiteness conditions in commutative ring theory (13E99)


Related Items

Generalization of the Lichtenbaum–Hartshorne Vanishing Theorem, A few examples of local rings. II., Multi-ideal-adic completions of Noetherian rings, Formal fibers and birational extensions, A class of local noetherian domains, A Peculiar Unmixed Domain, A few examples of local rings. I, Four notes on GB-rings, Six notes on chains of prime ideals, A Note on the Artinian Cofinite Modules, Macaulayfication of Noetherian schemes, The depth conjecture: A counterexample



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