Valuative Marot Rings

DOI10.1007/978-3-030-43416-8_14zbMath1440.13024OpenAlexW3034148489MaRDI QIDQ5119702

Thomas G. Lucas

Publication date: 1 September 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-43416-8_14

zbMATH Keywords

minimal extensionMarot ringvaluative domainvaluative ring

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Integral dependence in commutative rings; going up, going down (13B21)

Cites Work

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• Characterizing minimal ring extensions
• Krull rings, Prüfer \(v\)-multiplication rings and the ring of finite fractions
• A classification of the minimal ring extensions of certain commutative rings
• Pseudo-valuation domains
• Every Abelian group is a class group
• Homomorphismes minimaux d'anneaux
• Krull rings with zero divisors
• Valuative rings
• VALUATIVE DOMAINS
• Prüfer rings with zero divisors.

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