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Nakaoka, H · 2004 · arXiv 2004.02479

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Higher exact dg-categories

math.CT · 2026-04-07 · unverdicted · novelty 7.0

n-exact dg-categories are introduced so that their homotopy categories carry n-exangulated structures when Hom-cohomologies vanish, and n-cluster tilting subcategories of exact dg-categories naturally become n-exact dg-categories.

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  • Higher exact dg-categories math.CT · 2026-04-07 · unverdicted · none · ref 21

    n-exact dg-categories are introduced so that their homotopy categories carry n-exangulated structures when Hom-cohomologies vanish, and n-cluster tilting subcategories of exact dg-categories naturally become n-exact dg-categories.