Local cohomology modules and Gorenstein injectivity with respect to a semidualizing module
MR Zargar - Archiv der Mathematik, 2013 - Springer
Let (R, m) be a local ring, and let C be a semidualizing R-module. In this paper, we are
concerned with the C-injective and GC-injective dimensions of certain local cohomology …
concerned with the C-injective and GC-injective dimensions of certain local cohomology …
Bounds on Gorenstein Dimensions and Exceptional Complete Intersection Maps
H Faridian - arXiv preprint arXiv:2402.06834, 2024 - arxiv.org
We prove that if $ f: R\rightarrow S $ is a local homomorphism of noetherian local rings of
finite flat dimension and $ M $ is a non-zero finitely generated $ S $-module whose …
finite flat dimension and $ M $ is a non-zero finitely generated $ S $-module whose …
(n, m)-Strongly Gorenstein Projective Modules
D Bennis - International Electronic Journal of Algebra, 2009 - dergipark.org.tr
This paper is a continuation of the papers J. Pure Appl. Algebra, 210 (2007), 437–445 and J.
Algebra Appl., 8 (2009), 219–227. Namely, we introduce and study a doubly filtered set of …
Algebra Appl., 8 (2009), 219–227. Namely, we introduce and study a doubly filtered set of …
[PDF][PDF] On Gorenstein cotorsion dimension over GF-closed rings
Z Gao - Bulletin of the Korean Mathematical Society, 2014 - researchgate.net
In this article, we introduce and study the Gorenstein cotorsion dimension of modules and
rings. It is shown that this dimension has nice properties when the ring in question is left GF …
rings. It is shown that this dimension has nice properties when the ring in question is left GF …
Projectively coresolved Gorenstein flat dimension of groups
DD Stergiopoulou - Journal of Algebra, 2024 - Elsevier
In this paper, we introduce and study the projectively coresolved Gorenstein flat dimension
of a group G over a commutative ring R and we prove that this dimension enjoys all the …
of a group G over a commutative ring R and we prove that this dimension enjoys all the …
Homological flat dimensions
For finitely generated module $ M $ over a local ring $ R $, the conventional notions of
complete intersection dimension $\cid_R M $ and Cohen-Macaulay dimension $\cmdim_R …
complete intersection dimension $\cid_R M $ and Cohen-Macaulay dimension $\cmdim_R …
A generalization of a theorem of Bass
S Yassemi - Communications in Algebra, 2006 - Taylor & Francis
Let (R, 𝔪) be a commutative Noetherian local ring. In this paper we prove that if R admits a
finite module of finite Gorenstein injective dimension and maximal Krull dimension then R is …
finite module of finite Gorenstein injective dimension and maximal Krull dimension then R is …
Gorenstein flat dimension of complexes
A Iacob - Journal of mathematics of Kyoto University, 2009 - projecteuclid.org
We define a notion of Gorenstein flat dimension for unbounded complexes over left GF-
closed rings. Over Gorenstein rings we introduce a notion of Gorenstein cohomology for …
closed rings. Over Gorenstein rings we introduce a notion of Gorenstein cohomology for …
Some results on Gorenstein (weak) global dimension of rings
W Li, L Yan, D Zhang - Communications in Algebra, 2023 - Taylor & Francis
The principle “Every result in classical homological algebra should have a counterpart in
Gorenstein homological algebra” was given by Henrik Holm. We give support to the …
Gorenstein homological algebra” was given by Henrik Holm. We give support to the …
[引用][C] A note on Gorenstein projective and Gorenstein flat modules
X Wang - Journal of Algebra and Its Applications, 2023 - World Scientific
We prove that all Gorenstein projective modules are Gorenstein flat if and only each
Gorenstein projective module has finite Gorenstein flat dimension. As applications, some …
Gorenstein projective module has finite Gorenstein flat dimension. As applications, some …