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Given an exact category $\mathcal{C}$, we denote by $\mathcal{C}_l$ thesmallest additive subcategory containing injectives and indecomposable objectswhich appear as the first term of an almost split conflation. We prove that adeflation is right determined by some object if and only if its intrinsickernel lies in $\mathcal{C}_l$. We give characterizations for $\mathcal{C}$having Auslander-Reiten duality.

The Auslander-Reiten duality via morphisms determined by objects