ON RINGS OVER WHICH EVERY P-FLAT IDEAL IS SINGLY PROJECTIVE

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International Electronic Journal of Algebra
Volume:18 Issue:18
ON RINGS OVER WHICH EVERY P-FLAT IDEAL IS SINGLY PROJECTIVE

ON RINGS OVER WHICH EVERY P-FLAT IDEAL IS SINGLY PROJECTIVE

Authors : Fatima Cheniour, Najib Mahdou

Pages : 46-56

Doi:10.24330/ieja.266203

View : 16 | Download : 11

Publication Date : 2015-12-01

Article Type : Research Paper

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.
Keywords : FSP ring, direct product, localization, homomorphic image, amalgamation of rings, trivial extension

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