Strongly Gorenstein projective, injective and flat modules
X Yang, Z Liu - Journal of Algebra, 2008 - Elsevier
Journal of Algebra Strongly Gorenstein projective, injective and flat modules Page 1 Journal
of Algebra 320 (2008) 2659–2674 Contents lists available at ScienceDirect Journal of Algebra …
of Algebra 320 (2008) 2659–2674 Contents lists available at ScienceDirect Journal of Algebra …
Gorenstein global dimensions and cotorsion dimension of rings
D Bennis, N Mahdou - Communications in Algebra, 2009 - Taylor & Francis
In this article, we establish, as a generalization of a result on the classical homological
dimensions of commutative rings, an upper bound on the Gorenstein global dimension of …
dimensions of commutative rings, an upper bound on the Gorenstein global dimension of …
Gorenstein injective dimension for complexes and Iwanaga–Gorenstein rings
J Asadollahi, S Salarian - Communications in Algebra®, 2006 - Taylor & Francis
The main purpose of this article is to present some applications of the notion of Gorenstein
injective dimension of complexes over an associative ring. Among the applications, we give …
injective dimension of complexes over an associative ring. Among the applications, we give …
On -Gorenstein projective dimensions and precovers
B Yu - Turkish Journal of Mathematics, 2020 - journals.tubitak.gov.tr
For a class of $ R $-modules $\mathcal {X} $ containing all projective $ R $-modules, the
$\mathcal {X} $-Gorenstein projective $ R $-modules vary from projective to Gorenstein …
$\mathcal {X} $-Gorenstein projective $ R $-modules vary from projective to Gorenstein …
On (strongly) Gorenstein von Neumann regular rings
N Mahdou, M Tamekkante… - Communications in …, 2011 - Taylor & Francis
Full article: On (Strongly) Gorenstein Von Neumann Regular Rings Skip to Main Content Taylor
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Products of flat modules and global dimension relative to ℱ-Mittag-Leffler modules
M Cortés-Izurdiaga - Proceedings of the American Mathematical Society, 2016 - ams.org
Let $ R $ be any ring. We prove that all direct products of flat right $ R $-modules have finite
flat dimension if and only if each finitely generated left ideal of $ R $ has finite projective …
flat dimension if and only if each finitely generated left ideal of $ R $ has finite projective …
The rings in which all super finitely presented modules are Gorenstein projective
S Xing, F Wang - Bulletin of the Malaysian Mathematical Sciences …, 2019 - Springer
Let R be a commutative ring. The Gorenstein super finitely presented dimension of R is
defined as Gs. gl.\dim (R)=\sup {Gpd _ RM\,|\, M Gs. gl. dim (R)= sup Gpd RM| M is a super …
defined as Gs. gl.\dim (R)=\sup {Gpd _ RM\,|\, M Gs. gl. dim (R)= sup Gpd RM| M is a super …
[PDF][PDF] and -dimensions of modules
EE Enochs, OMG Jenda, L Oyonarte - Rendiconti del Seminario …, 2001 - numdam.org
Bourbaki [1] defined A-dimension using finite presentations. In this paper, we extend this
definition by replacing finite presentations with resolutions obtained by using either r …
definition by replacing finite presentations with resolutions obtained by using either r …
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 …
Transfer of Gorenstein dimensions of unbounded complexes along ring homomorphisms
L Zhongkui, R Wei - Communications in Algebra, 2014 - Taylor & Francis
Let R→ S be a ring homomorphism. We consider the relationships of the Gorenstein
dimensions of an R-complex X (possibly unbounded) with those of the S-complexes R Hom …
dimensions of an R-complex X (possibly unbounded) with those of the S-complexes R Hom …