Let 𝒜 be an abelian category having enough projective and injective objects, and let 𝒯 be
an additive subcategory of 𝒜 closed under direct summands. A known assertion is that in a …

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

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 …

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 …

The purpose of this paper is, as part of the stratification of Cohen–Macaulay rings, to
investigate the question of when the fiber products are almost Gorenstein rings. We show …

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 …

Introduction. The aim of this paper is to show the relevance of a class of commutative
noetherian rings to the study of reflexive nmod-ules. They include integrally closed domains …

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 …