Generalizes the Koenig-Zhu theorem to prove that the ideal quotient by a (d+1)-cluster tilting subcategory is equivalent to a d-extended module category over a d-truncated DG-category via a new Morita-type theorem.
Amiot.Cluster categories for algebras of global dimension 2 and quivers with potential
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Extended Module Categories in Higher Cluster Tilting Theory
Generalizes the Koenig-Zhu theorem to prove that the ideal quotient by a (d+1)-cluster tilting subcategory is equivalent to a d-extended module category over a d-truncated DG-category via a new Morita-type theorem.