Results 31 to 40 of about 662 (82)
A classification theorem for t-structures [PDF]
, 2016 We give a classification theorem for a relevant class of t-structures in triangulated categories, which includes, in the case of the derived category of a Grothendieck category, a large class of t-structures whose hearts have at most nfixed consecutive ...
Fiorot, Luisa +2 more
core +1 more source
When are the classes of Gorenstein modules (co)tilting?
Comptes Rendus. MathématiqueFor the class of Gorenstein projective (resp. injective and flat) modules, we investigate and settle the questions when the middle class is tilting and the other ones are cotilting. The applications have in three directions.
Wang, Junpeng +2 more
doaj +1 more source
Derived dualities induced by a 1-cotilting bimodule
, 2013 In this paper we characterize the modules and the complexes involved in the dualities induced by a 1-cotilting bimodule in terms of a linear compactness condition. Our result generalizes the classical characterization of reflexive modules with respect to
Mantese, Francesca, Tonolo, Alberto
core +1 more source
Derived equivalences induced by nonclassical tilting objects [PDF]
, 2016 Suppose that $\mathcal{A}$ is an abelian category whose derived category $\mathcal{D}(\mathcal{A})$ has $Hom$ sets and arbitrary (small) coproducts, let $T$ be a (not necessarily classical) ($n$-)tilting object of $\mathcal{A}$ and let $\mathcal{H}$ be ...
Fiorot, Luisa +2 more
core +2 more sources
Reflexivity in Derived Categories
, 2009 An adjoint pair of contravariant functors between abelian categories can be extended to the adjoint pair of their derived functors in the associated derived categories.
Mantese, Francesca, Tonolo, Alberto
core +1 more source
Silting and cosilting classes in derived categories
, 2017 An important result in tilting theory states that a class of modules over a ring is a tilting class if and only if it is the Ext-orthogonal class to a set of compact modules of bounded projective dimension.
Marks, Frederik, Vitória, Jorge
core +1 more source
The tilting-cotilting correspondence
, 2019 To a big n-tilting object in a complete, cocomplete abelian category A with an injective cogenerator we assign a big n-cotilting object in a complete, cocomplete abelian category B with a projective generator, and vice versa.
Positselski, Leonid, Stovicek, Jan
core +1 more source
Properly stratified algebras and tilting
, 2005 We study the properties of tilting modules in the context of properly stratified algebras. In particular, we answer the question when the Ringel dual of a properly stratified algebra is properly stratified itself, and show that the class of properly ...
Frisk, Anders, Mazorchuk, Volodymyr
core +1 more source
Recollements from Cotorsion Pairs
, 2018 Given a complete hereditary cotorsion pair $(\mathcal{A},\mathcal{B})$ in a Grothendieck category $\mathcal{G}$, the derived category $\mathcal{D}(\mathcal{B})$ of the exact category $\mathcal{B}$ is defined as the quotient of the category $\mathrm{Ch ...
Bazzoni, Silvana, Tarantino, Marco
core +1 more source
, 2016 In this work, we revisit Auslander-Buchweitz Approximation Theory and find some relations with cotorsion pairs and model category structures. From the notions of relatives generators and cogenerators in Approximation Theory, we introduce the concept of ...
Becerril, Víctor +3 more
core +1 more source