… module N. These concepts are used to characterize von Neumann regular rings and (m,n)-coherent
rings… is a left (m,n)-coherent ring if and only if every right R-module has an (m,n)-flat …

… conditions for a ring to be left (m, n)-coherent. Some known results on … flat modules are
obtained. Finally, we generalize the notions of coherent rings as well as pseudo-coherent rings to …

… new characterizations of coherent rings, we … -injective modules and injective modules, the
relationships between some classes of modules which include the class of injective modules, …

… -injective modules and investigate self-FP-injective coherent rings in terms of Gorenstein
FP-injective modules… A left R-module M is called Gorenstein FP-injective if there exists an exact …

… coherent and can be embedded in a ring S such that $5’ and S, are faithfully flat and injective…
if R is a left IF ring then every left module which has finite injective dimension is flat and that …

… the coherence condition. The definition of a dualizing complex over a commutative coherent
ring, … of the notion of an fp-injective module over a coherent ring. Secondly, we introduce the …

… Let MI be a pure submodule of an n - FP-injective module M. For any finite n-presentation
Fn -t Fn-1 -+ ... -t Fl -+ Fo -+ A -+ 0 of A and any map f : I<, -+ MI , we get the following diagram …

… In this paper, we prove that if R is a left n-coherent ring and m ≥ 2, then gl-right-Jn,d-dimRM …
for all left R-modules M, N. Meanwhile, we prove that if R is a left n-coherent ring, then −⊗− …

… If R is right n-injective for every positive integer n, then we call R right f-injective. The ring
R is called right FP-injective if R is right (m,n)-injective for all positive integers m and n. …

… left R-modules is J-injective if and only if every right Rmodule has a J-flat preenvelope. As
a … left R-module over a left J-coherent ring R has a J-injective cover. Recall that a ring R is …