Results 11 to 20 of about 10,608 (98)

On modules with finite Gorenstein dimension [PDF]

Journal of Mahani Mathematical Research
Since the seminal work of Auslander and Bridger, the theory of Gorenstein dimension (G-dimension) has undergone substantial development and attracted considerable attention.
Behruz Sadeqi
doaj   +1 more source

Canonical Filtrations of Gorenstein Injective Modules [PDF]

, 2010
The principle "Every result in classical homological algebra should have a counterpart in Gorenstein homological algebra" is given in [3]. There is a remarkable body of evidence supporting this claim (cf. [2] and [3]).
Enochs, Edgar E., Huang, Zhaoyong
core   +2 more sources

Gorenstein Homological Dimension of Groups Through Flat-Cotorsion Modules [PDF]

Mathematics Interdisciplinary Research
‎The representation theory of groups is one of the most interesting examples of the interaction between physics and pure mathematics‎, ‎where group rings play the main role‎.
Ali Hajizamani
doaj   +1 more source

Good tilting modules and recollements of derived module categories [PDF]

, 2010
Let $T$ be an infinitely generated tilting module of projective dimension at most one over an arbitrary associative ring $A$, and let $B$ be the endomorphism ring of $T$.
Chen, Hongxing, Xi, Changchang
core   +1 more source

Totally acyclic complexes [PDF]

, 2016
For a given class of modules $\A$, we denote by $\widetilde{\A}$ the class of exact complexes $X$ having all cycles in $\A$, and by $dw(\A)$ the class of complexes $Y$ with all components $Y_j$ in $\A$.
Alina Iacob, Bass, Bennis, Bennis, Benson, Bravo, Christensen, Christensen, Enochs, Enochs, Enochs, Enochs, Enochs, Enochs, Estrada, Fossum, Gillespie, Holm, Huang, Iacob, Iacob, Iwanaga, Iwanaga, Iyengar, Krause, Murfet, Neeman, Sergio Estrada, Xianhui Fu, Yan, Yang, Yang   +31 more
core   +3 more sources

Three-Dimensional Manifolds, Skew-Gorenstein Rings and their Cohomology [PDF]

, 2010
Graded skew-commutative rings occur often in practice. Here are two examples: 1) The cohomology ring of a compact three-dimensional manifold. 2) The cohomology ring of the complement of a hyperplane arrangement (the Orlik-Solomon algebra).
Dedicated To Ralf Fröberg, Jan-erik Roos   +1 more
core   +2 more sources

Cotilting modules and homological ring epimorphisms [PDF]

, 2015
none1noWe show that every injective homological ring epimorphism f:R--> S where S_R has flat dimension at most one gives rise to a 1-cotilting R-module and we give sufficient conditions under which the converse holds true. Specializing to the case of a
Silvana Bazzoni
core   +2 more sources

Dimension and singularity theory for local rings of finite embedding dimension [PDF]

, 2008
In this paper, we develop an algebraic theory for local rings of finite embedding dimension. Several extensions of (Krull) dimension are proposed, which are then used to generalize singularity notions from commutative algebra.
H. Schoutens
semanticscholar   +1 more source

Upper Cohen-Macaulay Dimension [PDF]

, 2004
In this paper, we define a homological invariant for finitely generated modules over a commutative noetherian local ring, which we call upper Cohen-Macaulay dimension.
Araya, Tokuji, Takahashi, Ryo, Yoshino, Yuji   +2 more
core   +2 more sources

An Axiomatic Setup for Algorithmic Homological Algebra and an Alternative Approach to Localization [PDF]

, 2011
In this paper we develop an axiomatic setup for algorithmic homological algebra of Abelian categories. This is done by exhibiting all existential quantifiers entering the definition of an Abelian category, which for the sake of computability need to be ...
Auslander M., Cohn P. M., Cox D. A., Decker W., Gago-Vargas J., Greuel G.-M., Greuel G.-M., Laubenbacher R. C., Mac Lane S., MARKUS LANGE-HEGERMANN, MOHAMED BARAKAT, Stafford J. T.   +11 more
core   +1 more source