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

Published 29 Aug 2016 in math.CT and math.RT | (1608.07985v3)

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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