Ramin Ebrahimi, Alireza Nasr-Isfahani
Published 2020-06-10Version 1
Let $\mathcal{M}$ be a small $n$-abelian category. We show that the category of finitely presented functors $mod$-$\mathcal{M}$ modulo the subcategory of effaceable functors $mod_0$-$\mathcal{M}$ has an $n$-cluster tilting subcategory which is equivalent to $\mathcal{M}$. This gives a higher-dimensional version of Auslander's formula.
Comments: arXiv admin note: text overlap with arXiv:2001.01254
The completion of $d$-abelian categories
Representation of n-abelian categories in abelian categories
On the Monomorphism Category of $n$-Cluster Tilting Subcategories
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