The stable module category of a general ring
D Bravo, J Gillespie, M Hovey - arXiv preprint arXiv:1405.5768, 2014 - arxiv.org
… of Gorenstein projective and injective modules that we derive by replacing finitely presented
modules by modules … Since level modules are analogous to flat modules, we should expect …
modules by modules … Since level modules are analogous to flat modules, we should expect …
Gorenstein projective dimension with respect to a semidualizing module
D White - Journal of Commutative Algebra, 2010 - JSTOR
… and Gorenstein projective modules within this setting. We then study the resulting modules of
… X-proper resolution X and N is an R-module, the nth relative homology module and the nth …
… X-proper resolution X and N is an R-module, the nth relative homology module and the nth …
On stability of F-Gorenstein flat categories
J Hu, A Xu - Algebra Colloquium, 2016 - World Scientific
… In this paper, we get some properties of F-Gorenstein flat R-modules and … -Gorenstein flat
complexes possesses some kind of stability similar to the category of F-Gorenstein flat modules …
complexes possesses some kind of stability similar to the category of F-Gorenstein flat modules …
[HTML][HTML] Gorenstein dimension of modules over homomorphisms
LW Christensen, S Iyengar - Journal of Pure and Applied Algebra, 2007 - Elsevier
… In preparation, we recall a result about colimits of Gorenstein flat modules: … of Gorenstein
flat modules is Gorenstein flat, so it remains to see that the modules V − 1 M are Gorenstein flat. …
flat modules is Gorenstein flat, so it remains to see that the modules V − 1 M are Gorenstein flat. …
Buchweitz's equivalences for Gorenstein flat modules with respect to semidualizing modules
J Hu, Y Geng, J Wu, H Li - Journal of Algebra and Its Applications, 2021 - World Scientific
… gives rise to several distinguished classes of modules. … -flat (respectively C-flat C-cotorsion)
modules and the class GFC of C-Gorenstein flat modules for a given semidualizing module C…
modules and the class GFC of C-Gorenstein flat modules for a given semidualizing module C…
Stability of Gorenstein X-flat modules
C Selvaraj, A Umamaheswaran - Lobachevskii Journal of Mathematics, 2016 - Springer
… Abstract—In this paper we introduce the notion of Gorenstein X-flat R-module and study a …
strongly Gorenstein flat modules are nothing more than the strongly Gorenstein flat modules. …
strongly Gorenstein flat modules are nothing more than the strongly Gorenstein flat modules. …
Relative Gorenstein rings and duality pairs
J Wang, Z Di - Journal of Algebra and Its Applications, 2020 - World Scientific
… Gorenstein (L, A)-injective and Gorenstein injective) modules… of Gorenstein projective
model structure and Gorenstein … 5.3, we establish, for any flat-typed (L, A)-Gorenstein ring, a tri…
model structure and Gorenstein … 5.3, we establish, for any flat-typed (L, A)-Gorenstein ring, a tri…
Complexes of Gorenstein flat modules and Gorenstein cotorsion modules
Z Wang, Z Liu - Communications in Algebra®, 2010 - Taylor & Francis
… Since F is a Gorenstein flat module, we obtain that is a strongly Gorenstein flat complex by
the definition. From the hypothesis, the sequence (*) splits in the category of complexes, so …
the definition. From the hypothesis, the sequence (*) splits in the category of complexes, so …
Relative Gorenstein global dimension
D Bennis, JR Garcia Rozas… - International Journal of …, 2016 - World Scientific
… the relative Gorenstein projective global dimension of a ring with respect to a weakly
Wakamatsu tilting module C. … Also recall that a ring R is left m-perfect if any flat left R-module has …
Wakamatsu tilting module C. … Also recall that a ring R is left m-perfect if any flat left R-module has …
On Gorenstein projective, injective and flat dimensions-a functorial description with applications
LW Christensen, A Frankild, H Holm - arXiv preprint math/0403156, 2004 - arxiv.org
… is that Gorenstein flat modules may sometimes replace real flat modules in representations
of … Next, we turn to tensor products and Gorenstein flat modules. The first lemma follows by …
of … Next, we turn to tensor products and Gorenstein flat modules. The first lemma follows by …