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When every flat ideal is projective. (English) Zbl 1313.13023

Summary: In this paper, we study the class of rings in which every flat ideal is projective. We investigate the stability of this property under homomorphic image, and its transfer to various contexts of constructions such as direct products, and trivial ring extensions. Our results generate examples which enrich the current literature with new and original families of rings that satisfy this property.

MSC:

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