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 a dimension, called the finitely presented dimension, for modules and
commutative rings. This dimension has nice properties when the ring in question is …

A module MR is called FCG-projective if Ext R 1 (M, A)= 0 for every finitely cogenerated right
R-module A. A ring R is called right co-hereditary if every factor module of a finitely …

Throughout this paper all rings considered will be commutative rings with identity. We shall
consider the consequences for a ring of the flatness of certain classes of its modules. Since …

Coherent rings relative to (hereditary) torsion theories have been studied in several papers.
The characterization, given by Cateforis I41, of nonsingular rings with flat maximal quotient …

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 …

A ring R is called left P-coherent in case each principal left ideal of R is finitely presented. A
left R-module M (resp. right R-module N) is called D-injective (resp. D-flat) if Ext1 (G, M)= 0 …

Let R be a ring. A riglıt R-module M is called finitely presented if tlhere cxists a finitely
generated free right module IF and a finitely generated sulmodule h of F such that MF/l. The …