Valuation rings and the (catenary) chain conjectures
DOI10.1016/0021-8693(78)90264-8zbMath0374.13010OpenAlexW2044800931WikidataQ123153393 ScholiaQ123153393MaRDI QIDQ1245266
Publication date: 1978
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(78)90264-8
Commutative Noetherian rings and modules (13E05) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Complete rings, completion (13J10) Chain conditions, finiteness conditions in commutative ring theory (13E99) Arithmetic rings and other special commutative rings (13F99)
Cites Work
- 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
- 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
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
- On the dimension theory of rings. II
- H-Semilocal Domains and Altitude R[ c/b ]
- A Generalization of Zariski's Main Theorem
- 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
- An Example of a Hilbert Ring with Maximal Ideals of Different Height
- Conditions for Ker(R [ X →R [ c/b ]) to Have a Linear Base]
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