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https://arxiv.org/abs/2504.09505

Otake, Y · arXiv 2504.09505

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Spherical modules and the Auslander--Gorenstein condition for Auslander--Yoneda algebras

math.RT · 2026-06-09 · unverdicted · novelty 6.0

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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  • Spherical modules and the Auslander--Gorenstein condition for Auslander--Yoneda algebras math.RT · 2026-06-09 · unverdicted · none · ref 44

    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