2 papers
math.CT2026
A pre-triangulated category which is not triangulated
Xiao-Wu Chen, Jian Liu, Xue-Song Lu +1
In this article, we construct an explicit pre-triangulated category which is not a triangulated category. Its underlying additive category is the category of finitely generated pro…
math.CT2026
Homotopic morphisms and diagram theorems in extriangulated categories
Chencheng Zhang, Xue-Song Lu, Pu Zhang
Homotopic morphisms of -triangles in extriangulated categories are introduced. Any morphism of -triangles is a composition of homotopic morphisms. Any morphis…