Auslander--Reiten theory in extriangulated categories
Iyama, Osamu ; Nakaoka, Hiroyuki ; Palu, Yann
HAL, hal-02140313 / Harvested from HAL
Text on HAL
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.
Publié le : 2019-05-27
Classification:  [MATH]Mathematics [math],  [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT],  [MATH.MATH-CT]Mathematics [math]/Category Theory [math.CT] 
@article{hal-02140313,
     author = {Iyama, Osamu and Nakaoka, Hiroyuki and Palu, Yann},
     title = {Auslander--Reiten theory in extriangulated categories},
     journal = {HAL},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-02140313}
}

Iyama, Osamu; Nakaoka, Hiroyuki; Palu, Yann. Auslander--Reiten theory in extriangulated categories. HAL, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/hal-02140313/