Results 1 to 10 of about 10,608 (98)

Homological dimension based on a class of Gorenstein flat modules [PDF]

Comptes Rendus. Mathématique, 2022
In this paper, we study the relative homological dimension based on the class of projectively coresolved Gorenstein flat modules (PGF-modules), that were introduced by Saroch and Stovicek.
G. Dalezios, I. Emmanouil
semanticscholar   +3 more sources

Smashing localizations of rings of weak global dimension at most one [PDF]

, 2014
We show for a ring R of weak global dimension at most one that there is a bijection between the smashing subcategories of its derived category and the equivalence classes of homological epimorphisms starting in R. If, moreover, R is commutative, we prove
S. Bazzoni, J. Šťovíček
semanticscholar   +4 more sources

HOMOLOGICAL DIMENSION IN NOETHERIAN RINGS. [PDF]

Proc Natl Acad Sci U S A, 1956
Auslander M, Buchsbaum DA.
europepmc   +2 more sources

Gorenstein Rings via Homological Dimensions, and Symmetry in Vanishing of Ext and Tate Cohomology [PDF]

Algebras and Representation Theory, 2023
The aim of this article is to consider the spectral sequences induced by tensor-hom adjunction, and provide a number of new results. Let R be a commutative Noetherian local ring of dimension d .
D. Ghosh, Tony J. Puthenpurakal
semanticscholar   +1 more source

Homological Dimensions of Local (Co)homology Over Commutative DG-rings [PDF]

Canadian mathematical bulletin, 2017
Let $A$ be a commutative noetherian ring, let $\mathfrak{a}\subseteq A$ be an ideal, and let $I$ be an injective $A$ -module. A basic result in the structure theory of injective modules states that the $A$ -module ${{\Gamma }_{\alpha }}\left( I \right ...
Liran Shaul
semanticscholar   +1 more source

On reducing homological dimensions over Noetherian rings [PDF]

, 2020
Let $\Lambda$ be a left and right noetherian ring. First, for $m,n\in\mathbb{N}\cup\{\infty\}$, we give equivalent conditions for a given $\Lambda$-module to be $n$-torsionfree and have $m$-torsionfree transpose.
Tokuji Araya, Ryo Takahashi
semanticscholar   +1 more source

Gorenstein homological algebra and universal coefficient theorems [PDF]

, 2017
We study criteria for a ring—or more generally, for a small category—to be Gorenstein and for a module over it to be of finite projective dimension. The goal is to unify the universal coefficient theorems found in the literature and to develop machinery ...
A Beligiannis, A Neeman, A Neeman, A Neeman, A Neeman, AV Jategaonkar, CL Schochet, D Eisenbud, D Happel, D Simson, E Enochs, EE Enochs, EE Enochs, EE Enochs, GG Kasparov, Greg Stevenson, H Bass, H Becker, H Krause, H Krause, H Krause, H Krause, I Dell’Ambrogio, I Dell’Ambrogio, I Dell’Ambrogio, I Patchkoria, Ivo Dell’Ambrogio, J Rosenberg, J Šťovíček, J Šťovíček, Jan Šťovíček, JD Christensen, K Morita, M Auslander, M Auslander, M Dadarlat, M Hovey, M Hovey, M Kashiwara, N Ding, NQ Ding, P Balmer, P-Y Gall Le, PS Hirschhorn, R Meyer, R Meyer, R Meyer, R Meyer, R Wang, S Eilenberg, S Mac Lane, T Bühler, U Oberst, W Bruns, W Crawley-Boevey, Y Iwanaga   +55 more
core   +4 more sources

Definable coaisles over rings of weak global dimension at most one [PDF]

Publicacions matemàtiques, 2019
In the setting of the unbounded derived category D(R) of a ring R of weak global dimension at most one we consider t-structures with a definable coaisle.
S. Bazzoni, Michal Hrbek
semanticscholar   +1 more source

Finiteness in derived categories of local rings [PDF]

, 2005
New homotopy invariant finiteness conditions on modules over commutative rings are introduced, and their properties are studied systematically. A number of finiteness results for classical homological invariants like flat dimension, injective dimension ...
Dwyer, W., Greenlees, J. P. C., Iyengar, S.   +2 more
core   +3 more sources

Homological invariants associated to semi-dualizing bimodules [PDF]

, 2005
Cohen-Macaulay dimension for modules over a commutative noetherian local ring has been defined by A. A. Gerko. That is a homological invariant sharing many properties with projective dimension and Gorenstein dimension.
Araya, Tokuji, Takahashi, Ryo, Yoshino, Yuji   +2 more
core   +2 more sources