5 citations · 17 across the 14 of their papers we have counts for
4 papers · 1 filter
Semi-stable subcategories for Euclidean quivers
Colin Ingalls, Charles Paquette, Hugh Thomas
In this paper, we study the semi-stable subcategories of the category of representations of a Euclidean quiver, and the possible intersections of these subcategories. Contrary to t…
Standard components of a Krull-Schmidt category
Shiping Liu, Charles Paquette
We provide criteria for an Auslander-Reiten component having sections of a Krull-Schmidt category to be standard. Specializing to the category of finitely presented representations…
Almost split sequences and approximations
Shiping Liu, Puiman Ng, Charles Paquette
Let A be an exact category, that is, an extension-closed full subcategory of an abelian category. Firstly, we give some necessary and sufficient conditions for A to have almost spl…
On the Auslander-Reiten quiver of the representations of an infinite quiver
Charles Paquette
Let Q be a strongly locally finite quiver and denote by rep(Q) the category of locally finite dimensional representations of Q over some fixed field k. The main purpose of this pap…