104 citations · 517 across the 59 of their papers we have counts for
6 papers · 1 filter
The artinian conjecture (following Djament, Putman, Sam, and Snowden)
Henning Krause
This note provides a self-contained exposition of the proof of the artinian conjecture, following closely Djament's Bourbaki lecture. The original proof is due to Putman, Sam, and…
Krull-Schmidt categories and projective covers
Henning Krause
Krull-Schmidt categories are additive categories such that each object decomposes into a finite direct sum of indecomposable objects having local endomorphism rings. We provide a s…
Deriving Auslander's formula
Henning Krause
Auslander's formula shows that any abelian category C is equivalent to the category of coherent functors on C modulo the Serre subcategory of all effaceable functors. We establish…
Highest weight categories and strict polynomial functors
Henning Krause
Highest weight categories are described in terms of standard objects and recollements of abelian categories, working over an arbitrary commutative base ring. Then the highest weigh…
Morphisms determined by objects and flat covers
Henning Krause
We describe a procedure for constructing morphisms in additive categories, combining Auslander's concept of a morphism determined by an object with the existence of flat covers. Al…
The Krull-Gabriel dimension of discrete derived categories
Grzegorz Bobinski, Henning Krause
We compute the Krull-Gabriel dimension of the category of perfect complexes for finite dimensional algebras which are derived discrete.