2 citations · 2 across the 5 of their papers we have counts for
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Representation theory of graded algebras given by locally finite quivers
Zetao Lin, Shiping Liu
This paper aims to study graded modules over a graded algebra $\La$ given by a locally finite quiver with homogeneous relations. By constructing a graded Nakayama functor, we disco…
Almost split sequences in tri-exact categories
Shiping Liu, Hongwei Niu
We shall study the existence of almost split sequences in tri-exact categories, that is, extension-closed subcategories of triangulated categories. Our results unify and extend the…
Koszul duality for non-graded derived categories
Ales Bouhada, Min Huang, Shiping Liu
We are concerned with relating derived categories of all modules of two dual Koszul algebras defined by a locally bounded quiver. We first generalize the well known Acyclic Assembl…
Cluster categories of type and triangulations of the infinite strip
Shiping Liu, Charles Paquette
We first study the (canonical) orbit category of the bounded derived category of finite dimensional representations of a quiver with no infinite path, and we pay more attention on…
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…