Throughout this paper, R will denote an n-Gorenstein ring, that is, R will he a left and right
nocthcrian on botlt sides and haw self-injective dime~~ sion at most n on both sides. R …

R will denote an n-Gorenstein ring, that is, R is left and right noetherian with injective
dimension at most n on either side. R module will mean a left R-module and all modules will …

We will study modules of the highest injective, projective and flat dimension over a
Goresntein ring. Let R be a Gorenstein ring of self-injective dimension n and 0–RR→ E0 …

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 …

Inspired in one of Auslander's characterizations of Gorenstein projective modules in [I],
Enochs and Jenda in [5] define t, he left derived functors of Horn (instead of the usual right …

The object of this article is to determine when a commutative Artin local ring A is the
homomorphic image ofa Gorenstein ring t F in such a way that the kernel of the …

Not necessarily commutative Gorenstein rings are defined to be noether rings with finite self-
injective dimension. Main interests concerning Gorenstein rings concentrate on …

Over a commutative Noetherian ring R, the Bass invariants μi (p, M) were defined for any
module M and any prime p∈ Spec R by H. Bass (Math. Z. 82, 1963, 8-28). In the first part of …

A complex C is called Gorenstein injective if there exists an exact sequence of
complexes⋯→ I− 1→ I0→ I1→⋯ such that each Ii is injective, C= Ker (I0→ I1) and the …

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 …