The set of indeterminate rings of a normal pair as a partially ordered set

DOI10.1007/s11587-010-0102-9zbMath1264.13012OpenAlexW2002530681MaRDI QIDQ691654

Ahmed Ayache

Publication date: 3 December 2012

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-010-0102-9

zbMATH Keywords

partially ordered setsfinite maximal chainsnormal pairsorder isomorphism functionsPrüfer rings

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Galois theory and commutative ring extensions (13B05)

Related Items

Maximal non valuation domains in an integral domain

Cites Work

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• Manis valuations and Prüfer extensions. I: A new chapter in commutative algebra
• Intermediary rings in normal pairs
• Some finiteness chain conditions on the set of intermediate rings
• Krull dimension, overrings and semistar operations of an integral domain
• Residually algebraic pairs of rings
• Maximal non-Noetherian subrings of a domain.
• An algorithm for computing the number of intermediary rings in normal pairs
• The spectrum of a ring as a partially ordered set
• A question about maximal non-valuation subrings
• Overrings of Commutative Rings. III: Normal Pairs
• Relarively prüfer pairs
• A lower bound for the number of intermediary rings
• Minimal Overrings of an Integrally Closed Domain
• Some finiteness conditions on the set of overrings of an integral domain