When every principal ideal is flat

DOI10.4171/PM/1925zbMath1282.13028arXiv1012.2538OpenAlexW2963709834MaRDI QIDQ360094

Najib Mahdoua, Fatima Cheniour

Publication date: 26 August 2013

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

Full work available at URL: https://arxiv.org/abs/1012.2538

zbMATH Keywords

localizationDedekind domaindirect productpullbackhomomorphic imageamalgamated duplication of a ring along an idealPF-ring

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Syzygies, resolutions, complexes and commutative rings (13D02)

Cites Work

• Unnamed Item
• A construction of Gorenstein rings
• Gaussian properties of total rings of quotients
• The amalgamated duplication of a ring along a multiplicative-canonical ideal
• Pullbacks of Prüfer rings
• Properties of chains of prime ideals in an amalgamated algebra along an ideal
• Trivial extensions defined by Prüfer conditions
• Commutative coherent rings
• Flat modules over valuation rings
• AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
• Amalgamated algebras along an ideal

This page was built for publication: When every principal ideal is flat