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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…
math.RT2025
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…