AuslanderBridger modules

A Facchini, N Girardi - Communications in Algebra, 2012 - Taylor & Francis
… –Bridger modules, with the property that the Auslander–… All finitely presented modules over
a semiperfect ring are direct sums of an AuslanderBridger module and a projective module. …

On the AuslanderBridger–Yoshino theory for complexes of finitely generated projective modules

Y Otake - Journal of Pure and Applied Algebra, 2025 - Elsevier
AuslanderBridger approximation theorem for complexes of finitely generated projective
R-modules… In Section 3, we construct long exact sequences of AuslanderBridger type for …

[PDF][PDF] The relative Auslander-Reiten theory of modules

CC Xi - preprint, 2005 - math0.bnu.edu.cn
… In this way we have a bridge between the category of finitely generated left A-modules and
… The set of homomorphisms between two modules X and Y will be denoted by HomA(X, Y ), …

Dual of the Auslander-Bridger formula and GF-perfectness

P Sahandi, T Sharif - Mathematica Scandinavica, 2007 - JSTOR
… In the rest of this section we introduce a class of modules called Grothen dieck modules.
We find a dual result for the Auslander-Bridger formula for this kind of modules of maximal …

A generalization of the Auslander transpose and the generalized Gorenstein dimension

Y Geng - Czechoslovak mathematical journal, 2013 - Springer
module M with respect to C which unifies the Auslander transpose and Huang’s transpose,
see ZYHuang, On a generalization of the Auslander-Bridger … the Auslander-Bridger formula to …

An Auslander-Buchsbaum identity for semidualizing modules

JR Strooker - arXiv preprint math/0611643, 2006 - arxiv.org
… of Auslander-Bridger [2] by replacing projective modules with semidualizing ones and then
resolving by modules which are totally reflexive with respect to a specific such module. A …

Homological aspects of the dual Auslander transpose, II

X Tang, Z Huang - 2017 - projecteuclid.org
modules (resp., Gorenstein Artin algebras). Finally, we obtain a dual version of the
AuslanderBridger … notions of the Auslander transpose of modules and n-torsion-free modules, we …

Gorenstein dimension of modules

V Maşek - arXiv preprint math/9809121, 1998 - arxiv.org
… In this subsection we complete the proof of the AuslanderBridger formula. Before we can
do that, however, we must bring regular elements into the picture. In particular, we need to …

[PDF][PDF] On the Auslander-Buchsbaum-type formulas

A Martsinkovsky - preprint, 2005 - Citeseer
… codepth, the syzygy modules of a finite module over a commutative … of modules of G-dimension
zero, we establish an Auslander-… By slightly modifying our proof of the Auslander-Bridger

About q-approximations and q-hulls over a Noetherian ring, some refinements of the Auslander-Bridger theory

AM Simon - Communications in Algebra, 2019 - Taylor & Francis
… for a module over a Noetherian ring, originally due to Auslander and Bridger without a name
and … The q-hulls being close to the morphism obtained by Auslander and Bridger in their “…