Abstract In (n, d)-ring and n-coherent ring theory, n-presented modules plays an important
role. In this paper, we firstly give some new characterizations of n-presented modules and n …

We study the restricted projective dimension of complexes and give some new
characterizations of the restricted projective dimension. In particular, it is shown that the …

In this paper, the notion of strongly G_C-projective and injective modules is introduced,
where C is a semidualizing module. Using these modules we can obtain a new …

Abstract Dimensions like Gelfand, Krull, Goldie have an intrinsic role in the study of theory of
rings and modules. They provide useful technical tools for studying their structure. We define …

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 …

We prove that (a) if R is a commutative coherent ring, the weak global dimension of R equals
the supremum of the flat (or (FP–) injective) dimensions of the simple R-modules;(b) if R is …

In this article, we introduce and study the concepts of quasi-Krull dimension and quasi-
Noetherian dimension of an R-module, where R is an arbitrary associative ring. These …

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 …