[PDF][PDF] A short survey on Gorenstein global dimension
D Bennis - Actes des rencontres du CIRM, 2010 - numdam.org
… the theorem the left Gorenstein global dimension of R and denoted by l.Ggldim(R). If R is
commutative, then this quantity is simply called Gorenstein global dimension of R and denoted …
commutative, then this quantity is simply called Gorenstein global dimension of R and denoted …
[图书][B] Gorenstein dimensions
LW Christensen - 2000 - books.google.com
… rings (rings of finite self-injective dimension) is parallel to the Auslander-Buchsbaum-Serre
characterization of regular rings (rings of finite global dimension), but to make the analogy …
characterization of regular rings (rings of finite global dimension), but to make the analogy …
Global Gorenstein dimensions
D Bennis, N Mahdou - Proceedings of the American Mathematical Society, 2010 - ams.org
… , the Gorenstein projective, injective, and flat dimensions of M (see [… that is used to define the
global dimension of R; see [12, … in the theorem the left Gorenstein global dimension of R and …
global dimension of R; see [12, … in the theorem the left Gorenstein global dimension of R and …
Gorenstein weak global dimension is symmetric
LW Christensen, S Estrada… - Mathematische …, 2021 - Wiley Online Library
… Gorenstein global and Gorenstein weak global dimensions. … Gorenstein weak global
dimension together with finite projective dimension of flat modules implies finite Gorenstein global …
dimension together with finite projective dimension of flat modules implies finite Gorenstein global …
Rings with finite Gorenstein global dimension
E Enochs, S Estrada, A Iacob - Mathematica Scandinavica, 2008 - JSTOR
… It has become increasing clear that the most striking homological property satisfied by the
category of modules over these rings is that they have a certain relative finite global …
category of modules over these rings is that they have a certain relative finite global …
Relative Gorenstein global dimension
D Bennis, JR Garcia Rozas… - International Journal of …, 2016 - World Scientific
… We study the relative Gorenstein projective global dimension of a ring with respect to a …
We prove that this relative global dimension is finite if and only if the injective dimension of …
We prove that this relative global dimension is finite if and only if the injective dimension of …
Weak Gorenstein global dimension
D Bennis - International Electronic Journal of Algebra, 2010 - dergipark.org.tr
… investigate the weak Gorenstein global dimension. … Gorenstein global dimensions coincide.
We first show, for GFclosed rings, that the left and right weak Gorenstein global dimensions …
We first show, for GFclosed rings, that the left and right weak Gorenstein global dimensions …
On Gorenstein flat dimension
S Bouchiba - Journal of Algebra and its Applications, 2015 - World Scientific
… As a consequence, we prove that if R is a left and right GF-closed, then the Gorenstein weak
global dimension of R is left–right symmetric and it is related to the cohomological invariants …
global dimension of R is left–right symmetric and it is related to the cohomological invariants …
Some results on Gorenstein (weak) global dimension of rings
W Li, L Yan, D Zhang - Communications in Algebra, 2023 - Taylor & Francis
… Gorenstein weak global dimension Gwgldim ( R ) of a ring R equals the supremum of the
Gorenstein flat dimensions … Finally, we give the Gorenstein counterpart of the well-known Hilbert…
Gorenstein flat dimensions … Finally, we give the Gorenstein counterpart of the well-known Hilbert…
Gorenstein global dimensions and cotorsion dimension of rings
D Bennis, N Mahdou - Communications in Algebra, 2009 - Taylor & Francis
… In this article, we continue the study of the Gorenstein global dimensions of commutative rings
… on the classical global homological dimensions to the Gorenstein global dimensions. To …
… on the classical global homological dimensions to the Gorenstein global dimensions. To …
相关搜索
- semi-primary rings gorenstein global dimension
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- auslander's theorem global dimension