14 citations · 24 across the 11 of their papers we have counts for
4 papers · 1 filter
A Representation theoretic perspective of Koszul theory
Ales Bouhada, Min Huang, Zetao Lin +1
We discover a new connection between Koszul theory and representation theory. Let $\La$ be a quadratic algebra defined by a locally finite quiver with relations. Firstly, we give a…
Auslander-Reiten components with bounded short cycles
Shiping Liu, Jinde Xu
We study Auslander-Reiten components of an artin algebra with bounded short cycles, namely, there exists a bound for the depths of maps appearing on short cycles of non-zero non-in…
The bounded derived categories of an algebra with radical squared zero
Raymundo Bautista, Shiping Liu
Let $\La$ be an elementary locally bounded linear category over a field with radical squared zero. We shall show that the bounded derived category $D^b(\ModbLa)$ of finitely suppor…
Another characterization of tilted algebras
Shiping Liu
We give a new characterization of tilted algebras by the existence of certain special subquivers in their Auslander-Reiten quiver. This result includes the existent characterizatio…