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arxiv: 1608.07985 · v3 · pith:KN6JSUCMnew · submitted 2016-08-29 · 🧮 math.CT · math.RT

Projectively generated d-abelian categories are d-cluster tilting

classification 🧮 math.CT math.RT
keywords abelianclustertiltingcategoriescategorygeneratedprojectivelyaxiomatizations
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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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