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 …

R is called a right ${\Pi}-coherent $ ring in case every finitely generated torsion less right R-
module is finitely presented. In this paper, we define a dimension for rings, called ${\Pi} …

We introduce the concepts of (n, d)-injective and (n, d)-flat as generalizations of injective, flat
modules and homological dimensions, and use them to characterize right n-coherent rings …

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 …

Let R be any ring. A right R-module M is called n-copure projective if Ext1 (M, N)= 0 for any
right R-module N with fd (N)≤ n, and M is said to be strongly copure projective if Ext i (M, F) …

In this paper, we introduce and study the concepts of non-essential Krull dimension and non-
essential Noetherian dimension of an R-module, where R is an arbitrary associative ring …

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

If R is left noetherian and M is a left R-module, then we can construct a complex called an
injective resolvent of M using injective precovers. Likewise, if R is left coherent and M is a …

We define the presented dimensions for modules and rings to measure how far away a
module is from having an infinite finite presentation and develop ways to compute the …

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 …