Auslander-gorenstein rings Page 1 COMMUNICATIONS IN ALGEBRA, 26(7), 2159-2180 (1998)
AUSLANDER-GORENSTEIN RINGS K . AJITABH: DEPARTMENT OF MATHEMATICS, FLORIDA …

We investigate the properties of categories of GC-flat R-modules where C is a semidualizing
module over a commutative noetherian ring R. We prove that the category of all GC-flat R …

We give new construction of injective resolutions of complexes and bimodules. Applying this
construction to an injective resolution of a Noetherian ring, we construct a $\Sigma …

Contravariantly finite resolving subcategories of the category of finitely generated modules
have been playing an important role in the representation theory of algebras. In this paper …

In this paper we assume that $ R $ is a Gorenstein Noetherian ring. We show that if
$(R,\mathfrak {m}) $ is also a local ring with Krull dimension $ d $ that is less than or equal to …

We prove that (a) if R is left coherent, then a finitely presented right R–module M is copure
flat if and only if M is a cokernel of a flat preen-velope (b) if R is a ring and na nonnegative …

0 Introduction 611 1 Left derived extension functors 612 2 Gorenstein injective modules 616
3 Resolutions and resolvents 620 4 The existence of Gorenstein injective modules 623 5 …

We characterize a ring over which every left module of finite length has an injective hull of
finite length. Using this, we show that finite normalizing extensions of such a ring also have …

In 1966, Auslander introduced the notion of the $ G $-dimension of a finitely generated
module over a Cohen-Macaulay noetherian ring and found the basic properties of these …

A ring R is called left “GF-closed”, if the class of all Gorenstein flat left R-modules is closed
under extensions. The class of left GF-closed rings includes strictly the one of right coherent …