MAXIMAL NON-PRÜFER AND MAXIMAL NON-INTEGRALLY CLOSED SUBRINGS OF A FIELD

DOI10.1142/S0219498811005658zbMath1259.13004MaRDI QIDQ4649477

Ali Jaballah

Publication date: 22 November 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

integral domainsPrüfer domainNoetherian ringintegrally closed domainRing extension

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Integral domains (13G05) Extension theory of commutative rings (13B02) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (17)

Maximal non-prime ideally equal subrings of a commutative ring ⋮ Maximal non-Prüfer and maximal non--Prüfer rings ⋮ Pairs of integral domains with most of the intermediate rings PVD ⋮ On finitely stable domains. II ⋮ Maximal non-integrally closed subrings of an integral domain ⋮ Graph theoretic characterizations of maximal non-valuation subrings of a field ⋮ The number of intermediate rings in FIP extension of integral domains ⋮ Almost valuation property in bi-amalgamations and pairs of rings ⋮ Maximal non $\lambda$-subrings ⋮ Ring extensions with finitely many non-Artinian intermediate rings ⋮ Some commutative ring extensions defined by almost Bézout condition ⋮ A visit to maximal non-ACCP subrings ⋮ On the commutative ring extensions with at most two non Prüfer intermediate rings ⋮ Some results about proper overrings of pseudo-valuation domains ⋮ Pairs of domains where most of the intermediate domains are Prüfer ⋮ Some questions concerning proper subrings ⋮ Maximal non-treed subring of its quotient field

Cites Work

• Unnamed Item
• Numerical characterizations of some integral domains
• The number of overrings of an integrally closed domain
• Residually algebraic pairs of rings
• Counting intermediate rings in normal pairs
• Overrings of Prüfer domains
• Intersections of quotient rings of an integral domain
• Ring extensions with some finiteness conditions on the set of intermediate rings
• ON MAXIMAL NON-ACCP SUBRINGS
• A lower bound for the number of intermediary rings
• Some finiteness conditions on the set of overrings of an integral domain

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