The principle “Every result in classical homological algebra should have a counterpart in
Gorenstein homological algebra” was given by Henrik Holm. There is a remarkable body of …

Metatheorem (Henrik Holm): Every result in classical homological algebra has a counterpart
in Gorenstein homological algebra. Daniel Gorenstein wrote his thesis [2] under Zariski at …

Since Eilenberg and Moore [EM], the relative homological algebra, especially the
Gorenstein homological algebra ([EJ2]), has been developed to an advanced level. The …

One of the open problems in Gorenstein homological algebra is: when is the class of
Gorenstein injective modules closed under arbitrary direct limits? It is known that if the class …

We consider the following question: Is Gorenstein homology a X-pure homology, in the
sense defined by Warfield, for a class X of modules? Let GP denote the class of Gorenstein …

In the original paper on Gorenstein rings, Bass [1] characterizes Gorenstein rings as those
commutative Noetherian local rings A which are Cohen-Macaulay and satisfy nn {A)= 1 …

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 …

In this paper, we examine the class of modules of finite Gorenstein projective dimension and
study approximations of modules in that class by modules which are either Gorenstein …

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 …

Abstract The concept of Gorenstein Krull domains can be viewed as a Gorenstein analogue
of Krull domains, which are not necessarily integrally closed. This allows us to study those …