A special chain theorem in the set of intermediate rings

DOI10.1142/S0219498817501857zbMath1390.13028OpenAlexW2528254382MaRDI QIDQ4588377

Mabrouk Ben Nasr, Nabil Zeidi

Publication date: 26 October 2017

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

Full work available at URL: https://doi.org/10.1142/s0219498817501857

zbMATH Keywords

conductormaximal chainsupportminimal ring extensionnormal pairintermediate ringfinite chain condition

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) 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 (3)

The number of intermediate rings in FIP extension of integral domains ⋮ On strongly affine extensions of commutative rings ⋮ THE FERRAND-OLIVIER CLASSIFICATION OF THE MINIMAL RING EXTENSIONS OF A FIELD: A PROOF AND A SURVEY OF ITS INFLUENCE

Cites Work

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• 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
• Transfer Results for the FIP and FCP Properties of Ring Extensions

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