In this article, we first consider concept of small Noetherian dimension of a module, which is
dual to the small krull dimension, denoted by $ sn {\rm-dim}\, A $, and defined to be the …

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 Noetherian ring, S a right Noetherian ring and RU a generalized tilting
module with S= End (RU). We give some equivalent conditions that the injective dimension …

In this paper we show that if R is a ring of Krull dimension d and M is a strongly copure flat
(respectively, strongly copure injective) module, then E⊗ RM (respectively, HomR (E, M)) is …

We contribute to the theory of G-dimension relative to a semidualizing module C, in
connection to the properties of a module being totally C-reflexive, Ck-torsionless, and Ck …

RINGS OVER WHICH FLAT COVERS OF SIMPLE MODULES ARE PROJECTIVE Page 1
Journal of Algebra and Its Applications Vol. 11, No. 3 (2012) 1250046 (7 pages) c© World …

For a left Noetherian ring R, if the supremum of flat dimensions of all injective left R-modules
is finite, we prove that strongly cotorsion left R-modules coincide with Gorenstein injective …

We define and studyco-Noetherian dimension of rings for which the injective envelopeof
simple modules have finite Krull-dimension. This is a Moritainvariant dimension that …

Let R be a ring. We define a dimension, called P-cotorsion dimension, for modules and
rings. The aim of this article is to investigate P-cotorsion dimensions of modules and rings …

arXiv:2307.14513v1 [math.AC] 26 Jul 2023 Page 1 arXiv:2307.14513v1 [math.AC] 26 Jul 2023
ON THE DIMENSION OF COFINITE MODULES MAJID RAHRO ZARGAR AND GHADER …