Article ID Journal Published Year Pages File Type
4596761 Journal of Pure and Applied Algebra 2012 6 Pages PDF
Abstract

In this paper, we study the class of rings in which every flat ideal is finitely generated. We 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. Our results generate examples which enrich the current literature with new and original families of non-Noetherian rings that satisfy this property.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory