One-sided exact categories appear naturally as instances of Grothendieck pretopologies. In
an additive setting they are given by considering the one-sided part of Keller's axioms …

We show that any bounded t-structure in the bounded derived category of a silting-discrete
algebra is algebraic, ie has a length heart with finitely many simple objects. As a corollary …

In this thesis we study torsion theory, subobjects and filtration properties in quasi-abelian,
exact and right triangulated categories. All such categegories fit into the larger framework of …

We prove that, if GProj is the class of all Gorenstein projective modules over a ring R, then
GP=(GProj, GProj⊥) is a cotorsion pair. Moreover, GP is complete when all projective …

Contraherent cosheaves are module objects over algebraic varieties defined by gluing
using the colocalization functors. Contraherent cosheaves are designed to be used for …

For any set of modules S, we prove the existence of precovers (right approximations) for all
classes of modules of bounded C-resolution dimension, where C is the class of all S-filtered …

Let G denote a possibly discrete topological group admitting an open subgroup I which is
pro-p. If H denotes the corresponding Hecke algebra over a field k of characteristic p, then …

We develop techniques for constructing model structures on chain complexes valued in
accessible exact categories, and apply this to show that for a closed symmetric monoidal …

We study finiteness conditions in Grothendieck categories by introducing the concepts of
objects of type FP n and studying their closure properties with respect to short exact …

Given any additive category C with split idempotents, pseudokernels and pseudocokernels,
we show that a subcategory B is coreflective if, and only if, it is precovering, closed under …