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arXiv · 1608.07985

Projectively generated $d$-abelian categories are $d$-cluster tilting

Sondre Kvamme
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Abstract

Building on work of Jasso, we prove that any projectively generated $d$-abelian category is equivalent to a $d$-cluster tilting subcategory of an abelian category with enough projectives. This supports the claim that $d$-abelian categories are good axiomatizations of $d$-cluster tilting subcategories.

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Sondre Kvamme. 2016-08-29. Projectively generated $d$-abelian categories are $d$-cluster tilting. https://arxiv.org/abs/1608.07985

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