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

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.

6 pages. The previous version of this note was incomplete due to a typo in the statement of Lemma 3.22 in https://arxiv.org/abs/1405.7805 . This note is not intended for publication