4 papers · 1 filter
Artin algebras of small representation bound
Youqi Yin, Shiping Liu
This paper introduces a novel classification approach for representation-finite artin algebras in terms of the maximal length of their indecomposable modules of finite length, whic…
Auslander-Reiten theory via Nakayama duality in abelian categories
Zetao Lin, Shiping Liu
Using the Nakayama duality induced by a Nakayama functor, we provide a novel and concise account of the existence of Auslander-Reiten dualities and almost split sequences in abelia…
Representation theory of hereditary artin algebras of finite representation type
Shiping Liu, Gordana Todorov
Let be a hereditary artin algebra of finite representation type. We first determine all hammocks in the Auslander-Reiten quiver $\GaH$ of $\mmod H$, the category of finitely ge…
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…