A characterisation of higher torsion classes

Jenny August, Johanne Haugland, Karin M. Jacobsen +3

Let $\mathcal{A}$ be an abelian length category containing a $d$-cluster tilting subcategory $\mathcal{M}$. We prove that a subcategory of $\mathcal{M}$ is a $d$-torsion class if a…