A characterisation of higher torsion classes

Let $\mathcal {A}$ be an abelian length category containing a d-cluster tilting subcategory $\mathcal {M}$ . We prove that a subcategory of $\mathcal {M}$ is a d-torsion class if and only if it is closed under d-extensions and d-quotients. This generalises an important result for...

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Bibliographic Details
Main Authors: Jenny August, Johanne Haugland, Karin M. Jacobsen, Sondre Kvamme, Yann Palu, Hipolito Treffinger
Format: Article
Language:English
Published: Cambridge University Press 2025-01-01
Series:Forum of Mathematics, Sigma
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Online Access:https://www.cambridge.org/core/product/identifier/S2050509424000732/type/journal_article
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