FP-INJECTIVE COMPLEXES

摘要

In this article, FP-injective complexes are introduced and studied. We prove that (F-perpendicular to J, F J) is a hereditary cotorsion theory if and only if R is a left coherent ring, where J J denotes the class of all FP-injective complexes of left R-modules. Simultaneously, we study the existence of FP-injective preenvelopes and FP-injective covers.