On restricted injective dimensions of complexes
W Dejun, L Zhongkui - Communications in Algebra, 2013 - Taylor & Francis
Let R be a commutative Noetherian ring. If cmd R≤ 1, then it is shown that for any R-module
the large restricted injective dimension is a refinement of the Gorenstein injective dimension …
the large restricted injective dimension is a refinement of the Gorenstein injective dimension …
Modules of the highest homological dimension over a Gorenstein ring
Y Iwanaga, J Miyachi - CONTEMPORARY MATHEMATICS, 1998 - books.google.com
We will study modules of the highest injective, projective and flat dimension over a
Goresntein ring. Let R be a Gorenstein ring of self-injective dimension n and 0–RR→ E0 …
Goresntein ring. Let R be a Gorenstein ring of self-injective dimension n and 0–RR→ E0 …
Foxby duality and Gorenstein injective and projective modules
E Enochs, O Jenda, J Xu - Transactions of the American Mathematical …, 1996 - ams.org
In 1966, Auslander introduced the notion of the $ G $-dimension of a finitely generated
module over a Cohen-Macaulay noetherian ring and found the basic properties of these …
module over a Cohen-Macaulay noetherian ring and found the basic properties of these …
A note on Gorenstein AC-projective and Gorenstein AC-flat modules
J Wang - Colloquium Mathematicum, 2022 - impan.pl
We establish some relationships between Gorenstein AC-projective modules and
Gorenstein AC-flat modules. As applications, we obtain some new characterizations of …
Gorenstein AC-flat modules. As applications, we obtain some new characterizations of …
Gorenstein projective dimensions of complexes
ZK Liu, CX Zhang - Acta Mathematica Sinica, English Series, 2011 - Springer
We show that over a right coherent left perfect ring R, a complex C of left R-modules is
Gorenstein projective if and only if C m is Gorenstein projective in R-Mod for all m∈ ℤ …
Gorenstein projective if and only if C m is Gorenstein projective in R-Mod for all m∈ ℤ …
Strongly Gorenstein flat modules and dimensions
N Mahdou, M Tamekkante - Chinese Annals of Mathematics, Series B, 2011 - Springer
There is a variety of nice results about strongly Gorenstein flat modules over coherent rings.
These results are done by Ding, Lie and Mao. The aim of this paper is to generalize some of …
These results are done by Ding, Lie and Mao. The aim of this paper is to generalize some of …
Dimension of complexes related to special Gorenstein projective precovers
Z Liu, J Li - Communications in Algebra, 2022 - Taylor & Francis
Let R be a ring and X a complex of R-modules. We investigate the relationship between the
dimensions Gppd (X) and Gpd (X) of X, where Gppd (X) is the dimension related to special …
dimensions Gppd (X) and Gpd (X) of X, where Gppd (X) is the dimension related to special …
On homotopy categories of Gorenstein modules: compact generation and dimensions
N Gao - arXiv preprint arXiv:1401.4204, 2014 - arxiv.org
Let $ A $ be a virtually Gorenstein algebra of finite CM-type. We establish a duality between
the subcategory of compact objects in the homotopy category of Gorenstein projective left …
the subcategory of compact objects in the homotopy category of Gorenstein projective left …
[PDF][PDF] When the flat and Gorenstein flat dimensions coincide?
S Bouchiba - Colloq. Math, 2017 - researchgate.net
It is well known that, given a ring R, if M is an R-module such that pdR (M)<∞, then GidR
(M)= idR (M)(Holm, 2004). This shows in particular that if R is a Noetherian ring such that …
(M)= idR (M)(Holm, 2004). This shows in particular that if R is a Noetherian ring such that …
Finiteness of Gorenstein injective dimension of modules
The Chouinard formula for the injective dimension of a module over a noetherian ring is
extended to Gorenstein injective dimension. Specifically, if $ M $ is a module of finite …
extended to Gorenstein injective dimension. Specifically, if $ M $ is a module of finite …