On Gorenstein flat dimension
S Bouchiba - Journal of Algebra and its Applications, 2015 - World Scientific
… to be enjoyed by the Gorenstein flat dimension. In Sec. 3, we prove that the finitistic
dimension associated to the cover Gorenstein flat dimension of an arbitrary ring R, denoted by …
dimension associated to the cover Gorenstein flat dimension of an arbitrary ring R, denoted by …
[HTML][HTML] Gorenstein homological dimensions
H Holm - Journal of pure and applied algebra, 2004 - Elsevier
… Besides the Gorenstein flat dimension of an R-module M, also the … the Gorenstein flat
dimension via resolutions, and show how the Tor-functors can be used to measure this dimension …
dimension via resolutions, and show how the Tor-functors can be used to measure this dimension …
Homological dimension based on a class of Gorenstein flat modules
G Dalezios, I Emmanouil - Comptes …, 2023 - comptes-rendus.academie-sciences …
… If M is a module of finite flat dimension, then M has finite Gorenstein flat dimension as well
… note that any Gorenstein flat module of finite projective dimension is necessarily flat. Indeed, …
… note that any Gorenstein flat module of finite projective dimension is necessarily flat. Indeed, …
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
… –dimension of finitely generated modules; see [49]. Before describing the criteria for finiteness
of Gorenstein projective, injective and flat dimensions, … of finite Gorenstein dimensions, we …
of Gorenstein projective, injective and flat dimensions, … of finite Gorenstein dimensions, we …
[图书][B] Gorenstein dimensions
LW Christensen - 2000 - books.google.com
… In chapter 5 the Gorenstein flat dimension - a refinement of the usual flat dimension is
examined. The Gorenstein flat and projective dimensions behave much like the usual …
examined. The Gorenstein flat and projective dimensions behave much like the usual …
[PDF][PDF] A variant theory for the Gorenstein flat dimension
S Bouchiba - Colloq. Math, 2015 - researchgate.net
… only if the Gorenstein flat dimension and the generalized Gorenstein flat dimension coincide.
… The goal of this section is to introduce and study the generalized Gorenstein flat dimension. …
… The goal of this section is to introduce and study the generalized Gorenstein flat dimension. …
A note on Gorenstein flat dimension
D Bennis - Algebra Colloquium, 2011 - World Scientific
… that the Gorenstein flat dimension is a refinement of the classical flat dimension over any ring;
and we … the relations between the Gorenstein projective dimension and the Gorenstein flat …
and we … the relations between the Gorenstein projective dimension and the Gorenstein flat …
[PDF][PDF] When the flat and Gorenstein flat dimensions coincide?
S Bouchiba - Colloq. Math, 2017 - researchgate.net
… Gorenstein flat dimension, precisely on modules possessing a flat resolution with a certain
Gorenstein flat … in [12, Lemma 3.3], that if G is a Gorenstein flat R-module and H is a right R-…
Gorenstein flat … in [12, Lemma 3.3], that if G is a Gorenstein flat R-module and H is a right R-…
On the finiteness of Gorenstein homological dimensions
I Emmanouil - Journal of Algebra, 2012 - Elsevier
… of finite Gorenstein projective, injective and flat dimensions. We … all Gorenstein projective
modules are Gorenstein flat and … of the Gorenstein Tor-functor for modules of finite Gorenstein …
modules are Gorenstein flat and … of the Gorenstein Tor-functor for modules of finite Gorenstein …
Stability of Gorenstein flat modules
S Bouchiba, M Khaloui - Glasgow Mathematical Journal, 2012 - cambridge.org
… Let Q be a right R-module with finite injective dimension. Applying the functor Q ⊗R − to this
… As R is left GF-closed and G1 is Gorenstein flat, we get M is a Gorenstein flat R-module, as …
… As R is left GF-closed and G1 is Gorenstein flat, we get M is a Gorenstein flat R-module, as …
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