3 papers
math.RT2026
Exceptional model structures and the induced extriangulated categories
Chencheng Zhang, Pu Zhang
A Hovey triple is {\it exceptional}, if is not a Frobeni…
math.CT2026
Pretriangulated categories failing (TR4)
Xiao-Wu Chen, Jian Liu, Sergei O. Ivanov +3
We introduce gemstones in a pretriangulated category, which are used to perturb pretriangulated structures. For a triangulated category whose stable category of cohere…
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…