Relative Gorenstein global dimension

D Bennis, JR Garcia Rozas… - International Journal of …, 2016 - World Scientific
… 4] for general Gorenstein projective and injective modules and also by Zhao and Sun [17], …
Gorenstein global injective and projective dimensions relative to a semidualizing module for …

On the theory and applications of -dimension with respect to a semidualizing module

CB Miranda-Neto, TS Souza - Journal of Algebra and Its …, 2023 - World Scientific
… over a local ring R of low depth; if C = R and R is a three-dimensional Gorenstein domain, …
A remarkable advance is the concept of Gdimension relative to a semidualizing module (see […

Linkage and intermediate C-Gorenstein dimensions

JP Brennan, A York - arXiv preprint arXiv:1810.01399, 2018 - arxiv.org
… with semidualizing modules C such that there are nontrivial C-quasi-Gorenstein modules. …
useful as they would give information about such modules that was not previously apparent. …

Gorenstein modules and Gorenstein model structures

A Xu - Glasgow Mathematical Journal, 2017 - cambridge.org
… (X, X ∩ Y)-Gorenstein projective modules and study its stability … model structures related to
Gorenstein flat modules over a right … for Gorenstein flat modules with respect to semidualizing

Gorenstein homological modules and Auslander categories with respect to a semidualizing module.

D Jun, WEI Jie - Acta Scientiarum Naturalium Universitatis …, 2023 - search.ebscohost.com
… The examples of semidualizing modules include the rank 1 free module and a dualizing
module, when … AB-contexts and stability for Gorenstein at modules with respect to semidualizing

On relative counterpart of Auslander's conditions

D Bennis, R El Maaouy, JRG Rozas… - Journal of Algebra and …, 2023 - World Scientific
… a semidualizing module C, we introduce weakly C-Gorenstein and partially C-Gorenstein
rings … between weakly Gorenstein and weakly C-Gorenstein via the trivial extension of R by the …

Ding projective modules with respect to a semidualizing bimodule

C Zhang, L Wang, Z Liu - 2015 - projecteuclid.org
… cases of the Gorenstein projective and Gorenstein injective modules using projective, flat …
strongly Gorenstein flat and Gorenstein FP-injective modules, respectively. The same modules

Foxby equivalence and cotorsion theories relative to semi-dualizing modules

E Enochs, S Yassemi - Mathematica Scandinavica, 2004 - JSTOR
… For any d > 1 we will show there are examp our rings R of dimension d which are not
Gorenstein but for which (±0l/ a cotorsion theory and such examples where (λ-1ί,ΰ1ί) is not a …

Relative tilting modules with respect to a semidualizing module

M Salimi - Czechoslovak Mathematical Journal, 2019 - Springer
… “relative” setting with respect to a semidualizing module. For instance, this has been done
for the classical and Gorenstein … to the relative setting with respect to a semidualizing module

[PDF][PDF] Mini-Workshop on Gorenstein Homological Algebra

N Ding, F Kong, X Zhang, P Zhang, A Iacob, L Yao… - ustc.edu.cn
… : We study Gorenstein right derived functors of -\otimes- with respect to semidualizing modules.
… Abstract: We prove that the relative Auslander algebra of a CM-finite algebra is CM-free. …