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…
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 …
… 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 …
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
… 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 …
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 …
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, …
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, …
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 …
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], …
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
… 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 …
investigated. We first study how to construct w-tilting (tilting, semidualizing) over T using the …