On Rings Over Which Every P-Flat Ideal Is Singly Projective

Abstract

Abstract. In this paper, we study the class of rings in which every P -flat ideal is singly projective. We investigate the stability of this property under localization and homomorphic image, and its transfer to various contexts of constructions such as direct products, amalgamation of rings A f J, and trivial ring extensions. Our results generate examples which enrich the current literature with new and original families of rings that satisfy this property.Mathematics Subject Classification (2010): 13D05, 13D02