Let R be a ring. Recall that a left R-module M is coherent if every finitely generated
submodule of M is finitely presented. R is a left coherent ring if the left R-module RR is …

Two modules are said to be orthogonal if they do not have nonzero isomorphic submodules.
An atomic module is any nonzero module whose nonzero submodules are not orthogonal. A …

In this paper, we study some properties of w-split modules. Hence, we use these modules to
characterize some classical rings. For example, we prove that a ring R is Von Neumann …

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 …

Let R be a commutative coherent ring and wD (R) denote the weak global dimension of R.
We prove that for an integer n≥ 2 the following are equivalent:.(a) wD (R) n;.(b) FP-idM⊗ …

We introduce the n-pure projective (resp., injective) dimension of complexes in n-pure
derived categories, and give some criteria for computing these dimensions in terms of the n …

We study, in this article, the FGT-injective dimensions of Π-coherent rings. If R is right Π-
coherent, and TI (resp. TF) stands for the class of FGT-injective (resp. FGT-flat) R-modules …

Let A be a noetherian Auslander regular ring and δ the canonical dimension function on A-
modules, which is defined as δ (M)= d− j (M) where d is the global dimension of A and j (M) …

Let m and n be fixed positive integers and M a right R-module. Recall that M is said to be (m,
n)-injective if for any (m, n)-presented right R-module P; M is called (m, n)-flat if for any (m, n) …

A fintitely generated R-module C is semidualizing if R= HomR (C, C) and [special charactes
omitted](C, C)= 0. In this dissertation we build off of Takahashi and White's P C-projective …