Let $ R $ be a ring, $ n $ a fixed non-negative integer, ${\mathscr {WI}} $ the class of all left $
R $-modules with weak injective dimension at most $ n $, and ${\mathscr {WF}} $ the class …

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 well known that the right global dimension of a ring R is usually computed by the right
derived functors of Hom and the left projective resolutions of right R-modules. In this paper …

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 …

In this paper, we define a class of relative derived functors in terms of left or right weak flat
resolutions to compute the weak flat dimension of modules. Moreover, we investigate two …

We investigate injective dimension of $ F $-finite $ F $-modules in characteristic $ p $ and
holonomic $ D $-modules in characteristic 0. One of our main results is the following. If …

In Section 1 of this paper, we investigate the finitely presented dimension of an essential
extension for a module, and obtain results concerning an essential extension of a torsion …

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 left and right Noetherian ring. We introduce the notion of the torsionfree
dimension of finitely generated R-modules. For any n 0, we prove that R is a Gorenstein ring …

We study the relations between finitistic dimensions and restricted injective dimensions. Let
R be a ring and T a left R-module with A= End RT. If RT is selforthogonal, then we show that …