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Math.Z.,258(1):143–160,2008

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Extended Module Categories in Higher Cluster Tilting Theory

math.RT · 2026-05-23 · unverdicted · novelty 6.0

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.

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  • Extended Module Categories in Higher Cluster Tilting Theory math.RT · 2026-05-23 · unverdicted · none · ref 3

    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.