Realizing infinite cardinal numbers via maximal chains of intermediate fields

DOI10.1216/RMJ-2014-44-5-1471zbMath1332.12009OpenAlexW2030757558MaRDI QIDQ485875

David E. Dobbs, Raymond C. Heitmann

Publication date: 14 January 2015

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

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1420071551

zbMATH Keywords

prime idealchainintegral domainfield extensiontransfinite induction\(J\)-extensioncardinal numberintermediate fieldlinear disjointness

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Field extensions (12F99)

Related Items (2)

An infinite cardinal-valued Krull dimension for rings ⋮ THE FERRAND-OLIVIER CLASSIFICATION OF THE MINIMAL RING EXTENSIONS OF A FIELD: A PROOF AND A SURVEY OF ITS INFLUENCE

Cites Work

• Jónsson \(\omega _ 0\)-generated algebraic field extensions
• Overrings and divisorial ideals of rings of the form \(D+M\)
• ON THE LENGTHS OF MAXIMAL CHAINS OF INTERMEDIATE FIELDS IN A FIELD EXTENSION
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