The \(D + E[\varGamma^*]\) construction from Prüfer domains and GCD-domains

DOI10.1016/j.crma.2011.10.023zbMath1233.13007OpenAlexW2047352476MaRDI QIDQ650852

Jung Wook Lim

Publication date: 7 December 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.10.023

zbMATH Keywords

Prüfer domainsGCD-domains

Mathematics Subject Classification ID

Integral domains (13G05) Extension theory of commutative rings (13B02) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Euclidean rings and generalizations (13F07)

Related Items (6)

The Schreier property and the composite semigroup ring A + B[Γ*] ⋮ Semigroup rings as almost Prüfer \(v\)-multiplication domains ⋮ The construction D + XD _S [ X and G -Prüfer domains] ⋮ Chain conditions in special pullbacks ⋮ Graded Prüfer domains ⋮ WHEN ARE GRADED INTEGRAL DOMAINS ALMOST GCD-DOMAINS

Cites Work

• Prüfer \(v\)-multiplication domains and related domains of the form \(D+D_S[\varGamma ^{*}\)]
• The class group of \(D+M\)
• Splitting the t-class group
• The construction \(D+XD_s[X\)]
• Generalized Krull domains and the composite semigroup ring \(D+E[\Gamma^{\ast}\)]
• On flat overrings, ideal transforms and generalized transforms of a commutative ring
• Generalized Quotient Rings
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