WHEN IS THE INTEGRAL CLOSURE COMPARABLE TO ALL INTERMEDIATE RINGS

DOI10.1017/S0004972716000721zbMath1365.13011OpenAlexW2535279059MaRDI QIDQ2986565

Nabil Zeidi, Mabrouk Ben Nasr

Publication date: 16 May 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972716000721

zbMATH Keywords

conductormaximal chainsupportintermediate ringsminimal ring extensionnormal pairfinite chain condition

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Polynomials over commutative rings (13B25) Valuations and their generalizations for commutative rings (13A18) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Extension theory of commutative rings (13B02) Completion of commutative rings (13B35)

Related Items (6)

When is a fixed ring comparable to all overrings? ⋮ Maximal non-integrally closed subrings of an integral domain ⋮ Unnamed Item ⋮ Splitting ring extensions ⋮ The number of intermediate rings in FIP extension of integral domains ⋮ FCP \(\Delta\)-extensions of rings

Cites Work

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• New results about normal pairs of rings with zero-divisors
• Intermediary rings in normal pairs
• Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
• Characterizing the ring extensions that satisfy FIP or FCP
• Intersections of quotient rings of an integral domain
• Homomorphismes minimaux d'anneaux
• An answer to a problem about the number of overrings
• A Constructive Study About the Set of Intermediate Rings
• Overrings of Commutative Rings. III: Normal Pairs
• A lower bound for the number of intermediary rings
• Some finiteness conditions on the set of overrings of an integral domain
• Prüfer rings with zero divisors.
• On the FIP Property for Extensions of Commutative Rings

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