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arXiv · 1612.02591

The Auslander-Reiten duality via morphisms determined by objects

Pengjie Jiao·Jue Le
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Abstract

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

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BibTeXRIS

Pengjie Jiao, Jue Le. 2016-12-08. The Auslander-Reiten duality via morphisms determined by objects. https://doi.org/10.1016/j.jpaa.2017.05.007

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