A universal construction in Goursat categories
A useful category for mixed Abelian groups.
Abelian groupoids and non-pointed additive categories.
Action groupoid in protomodular categories.
Acyclicity versus total acyclicity for complexes over noetherian rings.
Additive Duality at Cosmall Injectives
Adjoints, torsion theory and purity.
Affine braid group actions on derived categories of Springer resolutions
In this paper we construct and study an action of the affine braid group associated with a semi-simple algebraic group on derived categories of coherent sheaves on various varieties related to the Springer resolution of the nilpotent cone. In particular, we describe explicitly the action of the Artin braid group. This action is a “categorical version” of Kazhdan-Lusztig-Ginzburg’s construction of the affine Hecke algebra, and is used in particular by the first author and I. Mirković in the course...
Algebra invariants for finite directed graphs with relations.
Algebraic localizations and elementary toposes
Algebras whose Euler form is non-negative
Almost abelian categories
An embedding theorem for Hilbert categories.
An explicit construction for the Happel functor
An easy explicit construction is given for a full and faithful functor from the bounded derived category of modules over an associative algebra A to the stable category of the repetitive algebra of A. This construction simplifies the one given by Happel.
An orthogonal theory of a set-valued bifunctor
Applications of the induced morphism theorem in regular categories
Atomical Grothendieck categories.
Auslander-Reiten triangles in derived categories.
Automorphisms of extract sequences.