… We prove that a module is coherent, in the appropriate sense, if and … category of coherent
FIG-modules is abelian, independent of any assumptions on the group G, or the coefficient ring …

… a ring R is right 11-coherent if and only if every finitely generated torsionless left R-module
has a … Throughout this paper, R denotes an associative ring with identity and all modules are …

… by the category of quasi-coherent R-modules, where R is a representation by rings of a …
cover and a cotorsion envelope for quasi-coherent R-modules. Then we use the fact that the …

… rings are examples of coherent rings. The interest in coherence renewed an interest in these
rings as … to finitely presented modules and basic properties of coherent rings and modules. …

… for modules over noncoherent rings, … the category of modules over a coherent ring, are lost
as soon as we pass to the noncoherent case. All modules will be assumed to be left modules, …

… dim(R) < wD(R)-- rrcD(R) for a right coherent ring R. Let R and S be right coherent rings, we
… Throughout this paper, all rings are associative with identity and all modules are unitary. We …

… C-FP-injective modules is closed under pure submodules and pure quotients. We characterize
the coherent ring in terms of C-FP-injective modules and C-flat modules. We prove that a …

… of semi-coherent we define a ring to be semi-regular if every module is a submodule of a flat
… contained in a flat R-module, and hence R is a semi-coherent ring. The last statement of the …

… all max-flat right R-modules). We prove, in this article, that over a left max-coherent ring
every right R-module has an MF-preenvelope, and every left R-module has an MI cover. …

… Let R be a commutative ring with unit, and let E be an R-module. We say the functor of R-…
a quasi-coherent R-module. If E is an R-module of finite type, we will say that E is a coherent R-…