On FF-rings
type: Item
instance of: scholarly article
title: On FF-rings
zbMATH Open document ID: 1239.13002
author: A. Jhilal
author: Said El Baghdadi
author: Najib Mahdou
published in: Journal of Pure and Applied Algebra
publication date: 2012-01-24T00:00:00Z
review text: The authors study the class of rings in which every flat ideal is finitely generated (for short, FF-rings; see also \textit{J. D. Sally} and \textit{W. V. Vasconcelos}, Commun. Algebra 3, 531--543 (1975; Zbl 0315.13010)]. In particular, they investigate the stability of this property under localization and homomorphic image, and its transfer to various contexts of constructions such as direct products, pullback rings, and trivial ring extensions (or idealizations). Their results generate examples which enrich the current literature with new and original families of non-Noetherian rings that satisfy this property.
reviewed by: Marco Fontana
Mathematics Subject Classification ID: 13A15
Mathematics Subject Classification ID: 13C10
Mathematics Subject Classification ID: 13C11
Mathematics Subject Classification ID: 13B02
Mathematics Subject Classification ID: 13D07
zbMATH DE Number: 5999986
zbMATH Keywords: FF-ring
zbMATH Keywords: faithfully flat homomorphism
zbMATH Keywords: pullback
zbMATH Keywords: idealization
MaRDI profile type: Publication
full work available at URL: j.jpaa.2011.05.003
OpenAlex ID: W2031048568
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DOI: 10.1016/J.JPAA.2011.05.003
description: scientific article; zbMATH DE number 5999986