A class of integral domains whose integral closures are small submodules of the quotient field

DOI10.4171/PM/1830zbMath1180.13032MaRDI QIDQ1008840

David E. Dobbs

Publication date: 30 March 2009

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0032-5155&vol=66&iss=1&rank=4

zbMATH Keywords

valuation domainintegral closuresmall submodule\(D+M\) constructionlocally pseudo-rational domain

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Valuation rings (13F30) Integral dependence in commutative rings; going up, going down (13B21) Theory of modules and ideals in commutative rings (13C99)

Cites Work

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• Conducive integral domains
• Locally pseudo-valuation domains
• Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
• Topologically defined classes of commutative rings
• On small ring homomorphisms
• Overrings and divisorial ideals of rings of the form \(D+M\)
• Pairs of Rings with the Same Prime Ideals

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