Chain conditions in special pullbacks

DOI10.1016/J.CRMA.2012.07.003zbMath1258.13025OpenAlexW2079815879MaRDI QIDQ456621

Jung Wook Lim, Dong Yeol Oh

Publication date: 16 October 2012

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.2012.07.003

zbMATH Keywords

extensionpullbackascending chain conditionmonoid

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Arithmetic rings and other special commutative rings (13F99)

Related Items (5)

The Schreier property and the composite semigroup ring A + B[Γ*] ⋮ Chain conditions on composite Hurwitz series rings ⋮ \(S\)-Noetherian properties on amalgamated algebras along an ideal ⋮ The ascending chain condition on principal ideals in composite generalized power series rings ⋮ S-Noetherian Properties of Composite Ring Extensions

Cites Work

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• The \(D + E[\varGamma^*\) construction from Prüfer domains and GCD-domains]
• Generalized Krull domains and the composite semigroup ring \(D+E[\Gamma^{\ast}\)]
• Amalgamated algebras along an ideal
• Some factorization properties of composite domains a+xb[x and a+xbx]
• An Existence Theorem for Non-Noetherian Rings

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