On Gorenstein projective, injective and flat dimensions-a functorial description with applications

LW Christensen, A Frankild, H Holm - arXiv preprint math/0403156, 2004 - arxiv.org
Gorenstein homological dimensions are refinements of the classical homological
dimensions, and finiteness singles out modules with amenable properties reflecting those of …

On the category of modules of Gorenstein dimension zero II

R Takahashi - Journal of Algebra, 2004 - Elsevier
Let R be a commutative noetherian henselian non-Gorenstein local ring. The author has
conjectured in [R. Takahashi, On the category of modules of Gorenstein dimension zero …

[PDF][PDF] Cohen-Macaulay rings and related homological dimensions

R Takahashi - 2004 - math.nagoya-u.ac.jp
Commutative ring theory is a branch of algebra which was born in the late 19th century. In
the 1870s, JWR Dedekind introduced the notion of an ideal in his research of the rings of …