Equivalences and Dualities between FCI and FGP Modules 1 Introduction Page 1 International
Journal of Algebra, Vol. 3, 2009, no. 19, 911 - 918 Equivalences and Dualities between FCI …

We prove that, for any n≥ 2, the classes of FP n-injective modules and of FP n-flat modules
are both covering and preenveloping over any ring R. This includes the case of FP∞ …

Inspired in part by recent work of\v {S} aroch and\v {S}\v {t} ov\'{\i}\v {c} ek in the setting of
Gorenstein homological algebra, we extend the notion of Foxby-Golod ${\rm G_C} …

In this paper, we first study the properties of strongly Gorenstein flat (resp. Gorenstein FP-
injective) modules which are special Gorenstein projective (resp. Gorenstein injective) …

In this paper, we prove that a domain R is an FGV-domain if every finitely generated torsion-
free R-module is strongly copure projective, and a coherent domain is an FGV-domain if and …

Let S and R be rings and _SC_R be a semidualizing bimodule. We first give the definitions
of C-transpose and nC-torsionfree and give a criterion for a module A to be G_C-projective …

The category of unital modules over a ring with identity element is characterized as a
cocomplete abelian category with a progenerator. More generally, every cocomplete abelian …

A quasi-injective weakly co-Hopfian right module over a right Noetherian ring is
characterized. Those right semi-Artinian rings and right FBN rings over which completely …

We prove that, if GProj is the class of all Gorenstein projective modules over a ring R, then
GP=(GProj, GProj⊥) is a cotorsion pair. Moreover, GP is complete when all projective …