108 citations · 754 across the 37 of their papers we have counts for
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math.AT2015★ 6 cited
Abstract tilting theory for quivers and related categories
Moritz Groth, Jan Stovicek
We generalize the construction of reflection functors from classical representation theory of quivers to arbitrary small categories with freely attached sinks or sources. These ref…
math.KT2015★ 12 cited
Gorenstein homological algebra and universal coefficient theorems
Ivo Dell'Ambrogio, Greg Stevenson, Jan Stovicek
We study criteria for a ring - or more generally, for a small category - to be Gorenstein and for a module over it to be of finite projective dimension. The goal is to unify the un…
math.RT2015★ 49 cited
Torsion classes, wide subcategories and localisations
Frederik Marks, Jan Stovicek
For a finite dimensional algebra , we establish correspondences between torsion classes and wide subcategories in . In case is representation finite, we obtain an ex…