Notes on a new chain condition for prime ideals

DOI10.1016/0022-4049(78)90031-2zbMath0374.13011OpenAlexW2051068759WikidataQ126671172 ScholiaQ126671172MaRDI QIDQ1245267

Louis J. jun. Ratliff

Publication date: 1978

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(78)90031-2

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Cites Work

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• Some counterexamples related to prime chains in integral domains
• Four notes on saturated chains of prime ideals
• The altitude formula and DVR's
• Characterizations of taut semilocal rings
• Going-between rings and contractions of saturated chains of prime ideals
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• A note on form rings and ideals
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals, (I)
• On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals (II)
• Note on coefficient fields of complete local rings
• Characterizations of Catenary Rings
• Catenary Rings and the Altitude Formula

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