Introduces spherical algebras (all indecomposables spherical) and proves the Auslander-Yoneda algebra is Auslander-Gorenstein iff all indecomposables are spherical, with characterizations via split torsion pairs, directedness for representation-finite cases, classification of spherical Nakayama alge
https://arxiv.org/abs/2508.19079
2 Pith papers cite this work. Polarity classification is still indexing.
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Survey of preprojective algebras of hereditary algebras together with contracted and total generalizations, plus open problems.
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Spherical modules and the Auslander--Gorenstein condition for Auslander--Yoneda algebras
Introduces spherical algebras (all indecomposables spherical) and proves the Auslander-Yoneda algebra is Auslander-Gorenstein iff all indecomposables are spherical, with characterizations via split torsion pairs, directedness for representation-finite cases, classification of spherical Nakayama alge
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Preprojective algebras and generalisations: A short survey
Survey of preprojective algebras of hereditary algebras together with contracted and total generalizations, plus open problems.