Auslander--Reiten theory in extriangulated categories - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2019

Auslander--Reiten theory in extriangulated categories

Résumé

The notion of an extriangulated category gives a unification of existing theories in exact or abelian categories and in triangulated categories. In this article, we demonstrate it for Auslander-Reiten theory. We give two different sets of sufficient conditions on the extriangulated category so that existence of almost-split extensions becomes equivalent to that of an Auslander-Reiten-Serre duality.

Dates et versions

hal-02140313 , version 1 (27-05-2019)

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Osamu Iyama, Hiroyuki Nakaoka, Yann Palu. Auslander--Reiten theory in extriangulated categories. 2019. ⟨hal-02140313⟩
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