On FF-rings |
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| Authors: | S. El Baghdadi A. Jhilal N. Mahdou |
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| Affiliation: | 1. Department of Mathematics, Faculty of Science and Technology of Beni Mellal, Box 523, University S. M. Slimane Beni Mellal, Morocco;2. Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202, University S. M. Ben Abdellah Fez, Morocco |
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| 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. |
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