2020/10/30 by Jian He, He, Jian, Panyue Zhou +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2011.00729
openalex publication_date 2020/10/30 · openalex created_date 2020/11/09 · openalex updated_date 2026/07/28
Herschend-Liu-Nakaoka introduced the notion of n-exangulated categories. It is not only a higher dimensional analogue of extriangulated categories defined by Nakaoka-Palu, but also gives a simultaneous generalization of (n+2)-angulated in the sense of Geiss-Keller-Oppermann and n-exact categories in the sense of Jasso. In this article, we show that an n-exangulated category has the structure of an (n+2)-angulated category if and only if for any object X in the category, the morphism 0→ X is a trivial deflation and the morphism X→ 0 is a trivial inflation.