ON THE LENGTHS OF MAXIMAL CHAINS OF INTERMEDIATE FIELDS IN A FIELD EXTENSION

DOI10.1081/AGB-100106770zbMath0995.12003OpenAlexW2085300679MaRDI QIDQ2758256

David E. Dobbs, Bernadette Mullins

Publication date: 14 August 2002

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-100106770

zbMATH Keywords

invariantsfield extensionintermediate fieldslengths of chains

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Transcendental field extensions (12F20)

Related Items (15)

A classification of the minimal ring extensions of an integral domain ⋮ Catenarian FCP ring extensions ⋮ A field-theoretic invariant for domains ⋮ Boolean FIP ring extensions ⋮ Realizing infinite cardinal numbers via maximal chains of intermediate fields ⋮ Commutative Rings with a Prescribed Number of Isomorphism Classes of Minimal Ring Extensions ⋮ An infinite cardinal-valued Krull dimension for rings ⋮ Catenarian Numbers ⋮ Unnamed Item ⋮ On the finiteness of a field-theoretic invariant for commutative rings ⋮ On a Field-Theoretic Invariant for Extensions of Commutative Rings ⋮ THE FERRAND-OLIVIER CLASSIFICATION OF THE MINIMAL RING EXTENSIONS OF A FIELD: A PROOF AND A SURVEY OF ITS INFLUENCE ⋮ Transfer Results for the FIP and FCP Properties of Ring Extensions ⋮ A Constructive Study About the Set of Intermediate Rings ⋮ FINITELY VALUATIVE DOMAINS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Jónsson \(\omega _ 0\)-generated algebraic field extensions
• Topologically defined classes of commutative rings
• Pseudo-valuation domains
• On seminormal overrings
• Pairs of Rings with the Same Prime Ideals

This page was built for publication: ON THE LENGTHS OF MAXIMAL CHAINS OF INTERMEDIATE FIELDS IN A FIELD EXTENSION