A characterization of triangulated structures induced by premutation triples

Panyue Zhou

Let $(\mathcal{S},\mathcal{Z},\mathcal{V})$ be a premutation triple in an extriangulated category. Set $\mathcal{I}=\mathcal{S}\cap \mathcal{Z}=\mathcal{Z}\cap \mathcal{V}$. Iitsuka…