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Valuative rings

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Publication:4566057
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DOI10.1142/S0219498818501232zbMath1461.13006OpenAlexW4232503761MaRDI QIDQ4566057

Thomas G. Lucas

Publication date: 14 June 2018

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

Full work available at URL: https://doi.org/10.1142/s0219498818501232


zbMATH Keywords

minimal ring extensionMarot ringvaluative domainadditively regular ringvaluative ring


Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Extension theory of commutative rings (13B02)


Related Items (1)

Valuative Marot Rings




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
  • Regular ideals in commutative rings, sublattices of regular ideals, and Prüfer rings
  • \(\Delta\)-rings
  • Homomorphismes minimaux d'anneaux
  • Krull rings with zero divisors
  • La notion de place dans un anneau
  • Root closure and R[X]
  • VALUATIVE DOMAINS
  • Prüfer rings with zero divisors.
  • On Valuation Rings That Contain Zero Divisors




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