On FF-rings (Q659894)
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scientific article; zbMATH DE number 5999986
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On FF-rings |
scientific article; zbMATH DE number 5999986 |
Statements
On FF-rings (English)
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24 January 2012
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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.
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FF-ring
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faithfully flat homomorphism
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pullback
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idealization
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