Let R be a ring, na fixed non-negative integer and ℱ the class of all left R-modules of FP-
injective dimensions at most n. It is proved that all left R-modules over a left coherent ring R …

Let R be a ring. A left R-module M (respectively right R-module N) is called FI-injective
(respectively FI-flat) if Ext1 (G, M)= 0 (respectively Tor1 (N, G)= 0) for any FP-injective left R …

For a ring R, we prove that all left R-modules have weak injective covers and weak injective
preenvelopes. Then we characterize the right weak injective dimension of modules in terms …

It is proven that the weak dimension of each FP-injective module over a chain ring which is
either Archimedean or not semicoherent is less or equal to 2. This implies that the projective …

Let R be a ring, na fixed non-negative integer and ℱℐ n (ℱ n) the class of all left (right) R-
modules of FP-injective (flat) dimension at most n. A left R-module M (resp., right R-module …

In this article, we study the weak global dimension of coherent rings in terms of the left FP-
injective resolutions of modules. Let R be a left coherent ring and ℱ ℐ the class of all FP …

Let R be a regular ring of characteristic p> 0. In [4], Hochster showed that the category of
Lyubeznikʼs F R-modules has enough injectives, so that every F R-module has an injective …

In this paper, we study the class of complexes of FP-injective left R-modules. It is shown that
the pair is a complete cotorsion pair. If R is a left coherent ring, it is proved that every …

In this paper we extend the notion of FP-injective modules to that of complexes and
characterize such complexes. We show that some characterizations similar to those for …

Let R be a ring, na fixed nonnegative integer and FP n (F n) the class of all left (right) R-
modules of FP-injective (flat) dimensions at most n. A left R-module M (resp., right R-module …