We study torsion torsionfree(=TTF) triples in abelian and triangulated categories. (Notice that TTF triples in a triangulated category are essentially in bijection with recollement data for this triangulated category.) In particular, we complete Jans' characterization of split TTF triples on a category of modules, prove a weak version of the Generalized Smashing Conjecture, use homological epimorphisms of differential graded(=dg) categories to give an explicite description of all the TTF triples in the derived category of a k-flat dg category and develope an unbounded approach to Koenig's theorem on recollements of right bounded derived categories of ordinary algebras
We establish a correspondence between recollements of abelian categories up to equivalence and certa...
We establish a correspondence between recollements of abelian categories up to equivalence and certa...
We establish a correspondence between recollements of abelian categories up to equivalence and certa...
The paper is dedicated to triangulated categories along with torsion theories in them; we compare tw...
Abstract. We characterize the hereditary torsion pairs of finite type in the functor category of a r...
AbstractWe give a general parametrization of all the recollement data for a triangulated category wi...
We characterize the hereditary torsion pairs of finite type in the functor category of a ring R that...
We introduce and study the notion of torsion theory in the non-abelian context of homological catego...
AbstractWe introduce and study the notion of torsion theory in the non-abelian context of homologica...
For a small abelian category C, Auslander's formula allows us to express C as a quotient of the cate...
For a small abelian category C, Auslander's formula allows us to express C as a quotient of the cate...
AbstractFirst, we show that a compact object C in a triangulated category, which satisfies suitable ...
We establish a correspondence between recollements of abelian categories up to equivalence and certa...
We give a classification theorem for a relevant class of t-structures in triangulated categories, wh...
We establish a correspondence between recollements of abelian categories up to equivalence and certa...
We establish a correspondence between recollements of abelian categories up to equivalence and certa...
We establish a correspondence between recollements of abelian categories up to equivalence and certa...
We establish a correspondence between recollements of abelian categories up to equivalence and certa...
The paper is dedicated to triangulated categories along with torsion theories in them; we compare tw...
Abstract. We characterize the hereditary torsion pairs of finite type in the functor category of a r...
AbstractWe give a general parametrization of all the recollement data for a triangulated category wi...
We characterize the hereditary torsion pairs of finite type in the functor category of a ring R that...
We introduce and study the notion of torsion theory in the non-abelian context of homological catego...
AbstractWe introduce and study the notion of torsion theory in the non-abelian context of homologica...
For a small abelian category C, Auslander's formula allows us to express C as a quotient of the cate...
For a small abelian category C, Auslander's formula allows us to express C as a quotient of the cate...
AbstractFirst, we show that a compact object C in a triangulated category, which satisfies suitable ...
We establish a correspondence between recollements of abelian categories up to equivalence and certa...
We give a classification theorem for a relevant class of t-structures in triangulated categories, wh...
We establish a correspondence between recollements of abelian categories up to equivalence and certa...
We establish a correspondence between recollements of abelian categories up to equivalence and certa...
We establish a correspondence between recollements of abelian categories up to equivalence and certa...
We establish a correspondence between recollements of abelian categories up to equivalence and certa...