Gorenstein projective dimension with respect to a semidualizing module

D White - Journal of Commutative Algebra, 2010 - JSTOR
… J0rgensen's notion of C-Gorenstein projective modules to the non-… Gorenstein projective
modules within this setting. We then study the resulting modules of finite Geprojective dimension

Relative Gorenstein dimensions

D Bennis, JR García Rozas, L Oyonarte - Mediterranean Journal of …, 2016 - Springer
… In the last years (Gorenstein) homological dimensions relative to a semidualizing module C
… works as interesting extensions of (Gorenstein) homological dimensions. In this paper, we …

Gorenstein projective dimension relative to a semidualizing bimodule

Z Liu, Z Huang, A Xu - Communications in Algebra, 2013 - Taylor & Francis
… We obtain a criterion for computing the G C -projective dimension of modules. When S C
R is a faithfully semidualizing bimodule, we study the Foxby equivalence between the …

Reflexive modules with finite Gorenstein dimension with respect to a semidualizing module

E Tavasoli, M Salimi, S Yassemi - Proceedings-Mathematical Sciences, 2015 - Springer
… that a finitely generated R-module M with finite Gorenstein dimension is reflexive if and only
if … an analogous question for finitely generated modules with finite G C -dimension, we give a …

[PDF][PDF] Gorenstein homological dimensions with respect to a semidualizing module

Z Zhang, J Wei - International Electronic Journal of Algebra, 2018 - dergipark.org.tr
… C a semidualizing module. We investigate the (weak) C-Gorenstein global dimension of R
and we get a simple formula to compute the C-Gorenstein global dimension. Moreover, we …

Gorenstein projective dimension with respect to a semidualizing module

D White - arXiv preprint math/0611711, 2006 - arxiv.org
… ’s notion of C-Gorenstein projective modules to the non-… and Gorenstein projective modules
within this setting. We then study the resulting modules of finite GC -projective dimension, …

Theory of linkage, Gorenstein dimension and two semidualizing modules

TS Souza - Journal of Algebra and Its Applications, 2023 - World Scientific
… for modules of finite GC-dimension which are horizontally linked with respect to S, where C
and S are semidualizing modules … In most results, we work with two semidualizing modules, …

Relative grade and relative Gorenstein dimension with respect to a semidualizing module

M Salimi, E Tavasoli - Proceedings-Mathematical Sciences, 2023 - Springer
… Throughout this paper, R is a commutative Noetherian ring and all modules are unital. The
notion of a “semidualizing module” is a central notion in relative homological algebra. Ever …

Semidualizing bimodules and related Gorenstein homological dimensions

A Xu, N Ding - Journal of Algebra and Its Applications, 2016 - World Scientific
… of M by the modules of generalized Gorenstein dimension zero (see Definition 3.7). Motivated
by Enochs and Jenda’s extensions in [17] of Auslander and Bridger’s G-dimension [3], …

[HTML][HTML] Relative Gorenstein dimensions over triangular matrix rings

D Bennis, R El Maaouy, JR García Rozas, L Oyonarte - Mathematics, 2021 - mdpi.com
… In this paper, several notions in relative Gorenstein algebra over a triangular matrix ring are
investigated. We first study how to construct w-tilting (tilting, semidualizing) over T using the …