Graph theoretic characterizations of maximal non-valuation subrings of a field

DOI10.1007/S13366-012-0101-YzbMath1267.13013OpenAlexW2035350732MaRDI QIDQ1943345

Ali Jaballah

Publication date: 19 March 2013

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-012-0101-y

zbMATH Keywords

valuation domainchainPrüfer domainring extensionintegrally closed domain

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Integral domains (13G05) Valuation rings (13F30) Extension theory of commutative rings (13B02) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (4)

Pairs of integral domains with most of the intermediate rings PVD ⋮ The number of intermediate rings in FIP extension of integral domains ⋮ Ring extensions with finitely many non-Artinian intermediate rings ⋮ On the commutative ring extensions with at most two non Prüfer intermediate rings

Cites Work

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• MAXIMAL NON-PRÜFER AND MAXIMAL NON-INTEGRALLY CLOSED SUBRINGS OF A FIELD
• Some finiteness conditions on the set of overrings of an integral domain
• INTEGRAL DOMAINS WHOSE SIMPLE OVERRINGS ARE INTERSECTIONS OF LOCALIZATIONS
• Overrings of Commutative Rings. II. Integrally Closed Overrings

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