40 citations · 115 across the 13 of their papers we have counts for
4 papers · 1 filter
The left heart and exact hull of an additive regular category
Ruben Henrard, Sondre Kvamme, Adam-Christiaan van Roosmalen +1
Quasi-abelian categories are abundant in functional analysis and representation theory. It is known that a quasi-abelian category is a cotilting torsionfree class of…
Gorenstein projective objects in functor categories
Sondre Kvamme
Let be a commutative ring, let be a small, -linear, Hom-finite, locally bounded category, and let be a -linear abelian category. We construct…
A generalization of the Nakayama functor
Sondre Kvamme
In this paper we introduce a generalization of the Nakayama functor for finite-dimensional algebras. This is obtained by abstracting its interaction with the forgetful functor to v…
Projectively generated -abelian categories are -cluster tilting
Sondre Kvamme
Building on work of Jasso, we prove that any projectively generated -abelian category is equivalent to a -cluster tilting subcategory of an abelian category with enough proje…