Note on non-D-rings

DOI10.2989/16073606.2018.1498406zbMath1423.13030OpenAlexW2887934287MaRDI QIDQ5228898

Abdeslam Mimouni

Publication date: 13 August 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2018.1498406

zbMATH Keywords

trivial extension\(n\)-non-\(D\)-ringnon-constant polynomial

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Ideals and multiplicative ideal theory in commutative rings (13A15)

Cites Work

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• A construction of Gorenstein rings
• The amalgamated duplication of a ring along a multiplicative-canonical ideal
• On rings without a certain divisibility property
• Topologically defined classes of commutative rings
• Commutative coherent rings
• On rings with a certain divisibility property
• \(D+M\) constructions with general overrings
• A note on Dedekind non-\(D\)-rings
• On Prüfer non-\(D\)-rings
• Coherentlike conditions in pullbacks
• On the class group and the local class group of a pullback
• Overrings and divisorial ideals of rings of the form \(D+M\)
• AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
• Amalgamated algebras along an ideal
• CPI-Extensions: Overrings of Integral Domains with Special Prime Spectrums
• Pairs of Rings with the Same Prime Ideals

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