Real Valuations and Orderings on a Module

DOI10.1080/00927870701405041zbMath1141.13002OpenAlexW2107853274MaRDI QIDQ5426294

Guangxing Zeng

Publication date: 12 November 2007

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

Full work available at URL: https://doi.org/10.1080/00927870701405041

zbMATH Keywords

orderingvaluationmodulecompatibilityreal valuationassociated valuation triple

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Valuation rings (13F30) Real algebra (13J30)

Cites Work

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• Manis valuations and Prüfer extensions. I: A new chapter in commutative algebra
• Lectures on formally real fields
• On orderings, valuations and 0-primes of a commutative ring
• An introduction to real algebra
• Der Approximationssatz für Manisbewertungen
• Orderings and real places on commutative rings
• Immediate extensions of valuation rings
• Approximation theorems for hanis valuations with the inverse property
• Spectra of modules
• On formally real modules
• Valuations on a Module

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