Relations for Grothendieck groups of $n$-cluster tilting subcategories

Raziyeh Diyanatnezhad, Alireza Nasr-Isfahani

Let $\Lambda$ be an artin algebra and $\mathcal{M}$ be an n-cluster tilting subcategory of mod$\Lambda$. We show that $\mathcal{M}$ has an additive generator if and only if the n-almost split…