Remarks on modules approximated by G-projective modules

R Takahashi - Journal of Algebra, 2006 - Elsevier
Let R be a commutative Noetherian Henselian local ring. Denote by modR the category of
finitely generated R-modules, and by G the full subcategory of modR consisting of all G …

Gorenstein projective dimension with respect to a semidualizing module

D White - arXiv preprint math/0611711, 2006 - arxiv.org
We introduce and investigate the notion of $\gc $-projective modules over (possibly non-
noetherian) commutative rings, where $ C $ is a semidualizing module. This extends Holm …

An Auslander-Buchsbaum identity for semidualizing modules

JR Strooker - arXiv preprint math/0611643, 2006 - arxiv.org
Of the many interesting insights in the Auslander-Bridger Memoir of 1969, the theory of
Gorenstein dimension has most often been taken up by commutative algebraists. Over a …

[PDF][PDF] Descent of semidualizing complexes for rings with the approximation property

LW Christensen, S Sather-Wagstaff - preprint, 2006 - Citeseer
Let R be a commutative noetherian local ring with completion bR. When R has the
approximation property, we prove an approximation result for complexes with finitely …

[PDF][PDF] A GENERALIZATION OF n-TORSIONFREE MODULES

RYO TAKAHASHI - 第38 回環論および表現論シンポジウム報告集 - Citeseer
A GENERALIZATION OF n-TORSIONFREE MODULES 1. Introduction In the late 1960s,
Auslander and Bridger [2] constructed the notion of Page 1 A GENERALIZATION OF n-TORSIONFREE …