On a Field-Theoretic Invariant for Extensions of Commutative Rings

DOI10.1081/AGB-120028782zbMath1070.13008MaRDI QIDQ4678725

David E. Dobbs, Bernadette Mullins

Publication date: 23 May 2005

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

zbMATH Keywords

chainsintegral domainsPrüfer domainring extensions

Mathematics Subject Classification ID

Extension theory of commutative rings (13B02) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Field extensions (12F99)

Related Items (3)

A field-theoretic invariant for domains ⋮ Unnamed Item ⋮ On the finiteness of a field-theoretic invariant for commutative rings

Cites Work

• Topologically defined classes of commutative rings
• Homomorphismes minimaux d'anneaux
• Overrings and divisorial ideals of rings of the form \(D+M\)
• ON THE LENGTHS OF MAXIMAL CHAINS OF INTERMEDIATE FIELDS IN A FIELD EXTENSION
• Lying-Over Pairs of Commutative Rings
• Pairs of Rings with the Same Prime Ideals
• A lower bound for the number of intermediary rings
• Unnamed Item
• Unnamed Item

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