Auslander–Reiten–Serre duality for n-exangulated categories

Let [Formula: see text] be an text]-finite, Krull–Schmidt and text]-linear text]-exangulated category with a commutative artinian ring. In this note, we prove that has Auslander–Reiten–Serre duality if only Auslander–Reiten text]-exangles. Moreover, also give equivalent condition for the existence of Serre (which is special type duality). Finally, assume further duality. We exploit bijection triangle, which involves restricted Auslander