Some finiteness chain conditions on the set of intermediate rings

DOI10.1016/J.JALGEBRA.2010.03.009zbMath1196.13007OpenAlexW2087078097MaRDI QIDQ975112

Ahmed Ayache

Publication date: 8 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.03.009

zbMATH Keywords

normal pairfinite chain conditionfinite maximal chain

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Integral domains (13G05) Extension theory of commutative rings (13B02)

Related Items (7)

Isonoetherian power series rings ⋮ Characterizing the ring extensions that satisfy FIP or FCP ⋮ Δ-Extension of rings and invariance properties of ring extension under group action ⋮ Maximal non valuation domains in an integral domain ⋮ On λ-extensions of commutative rings ⋮ The set of indeterminate rings of a normal pair as a partially ordered set ⋮ A Constructive Study About the Set of Intermediate Rings

Cites Work

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• Intermediary rings in normal pairs
• Residually algebraic pairs of rings
• Homomorphismes minimaux d'anneaux
• Overrings of Commutative Rings. III: Normal Pairs
• On minimal overrings of a noetherian domain
• Pairs of Domains Where all Intermediate Domains are Noetherian
• 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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