A Characterization of Valuation Domains via m-Canonical Ideals

DOI10.1081/AGB-200034159zbMath1073.13012MaRDI QIDQ3158390

Ayman Badawi

Publication date: 25 January 2005

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

zbMATH Keywords

integral domainvaluation domains\(m\)-canonical idealsdivided ideals

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30)

Related Items

Multiplicative canonical ideals of ring extensions

Cites Work

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• Integral domains in which each t-ideal is divisorial
• Warfield domains
• Globalizing local properties of Prüfer domains
• Reflexive domains
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• On the ubiquity of Gorenstein rings
• M-Canonical ideals in integral domains
• On divided commutative rings
• On chained overrings of pseudo-valuation rings
• POWERFUL IDEALS, STRONGLY PRIMARY IDEALS, ALMOST PSEUDO-VALUATION DOMAINS, AND CONDUCIVE DOMAINS
• Integral domains in which each non‐zero ideal is divisorial