A characterisation of extriangulated categories with triangulated structure

2020/10/14 by Msapato, Dixy
#18E05 #18E30 (Primary) 18G15 18E10 (Secondary) #Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2010.07138

Abstract

We give a characterisation of the extriangulated categories which admit the structure of a triangulated category. We show that these are the extriangulated categories where for every object X in the extriangulated category, the morphism 0 → X is a deflation and the morphism X → 0 is an inflation.

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