For a left and right Noetherian ring R, we give some equivalent characterizations for RR
satisfying the Auslander condition in terms of the flat (resp. injective) dimensions of the terms …

We study homological behavior of modules satisfying the Auslander condition. Assume that
AC is the class of left R-modules satisfying the Auslander condition. It is proved that each …

Let R be a local commutative n-Gorenstein ring. The existence of the Gorenstein projective
preenvelopes for finite R-modules is known (it was proved using duality arguments). In the …

Auslander–Gorenstein resolution Page 1 Journal of Pure and Applied Algebra 216 (2012)
130–139 Contents lists available at SciVerse ScienceDirect Journal of Pure and Applied …

In this paper, we introduce and study (weak) pure-injective Gorenstein projective modules.
Let R be an Artin algebra. We prove that the category of weak pure-injective Gorenstein …

Let R be a commutative Noetherian ring and A an Artinian R-module. We prove that if A has
finite Gorenstein injective dimension, then A possesses a Gorenstein injective envelope …

We study Artin algebras Λ and commutative Noetherian complete local rings R in connection
with the following decomposition property of Gorenstein-projective modules: We show that …

In this paper, we show the existence of copure injective preenvelopes over noetherian rings
and copure flat preenvelopes over commutative artinian rings. We use this to characterize …

Let Λ and Γ be artin algebras and Λ U Γ a faithfully balanced selforthogonal bimodule. In this
paper, we first introduce the notion of k-Gorenstein modules with respect to Λ U Γ and then …

Let RR be an Artin algebra. Under certain Auslander‐type conditions, we give some
equivalent characterizations of (weakly) Gorenstein algebras in terms of the properties of …