Almost split triangles in pre-extriangulated categories
Tom 171 / 2023
Colloquium Mathematicum 171 (2023), 189-209
MSC: Primary 16G70; Secondary 18G25.
DOI: 10.4064/cm8781-5-2022
Opublikowany online: 22 August 2022
Streszczenie
We consider the notion of pre-extriangulated categories. We give some characterizations of almost split -triangles in a pre-extriangulated category and provide necessary and sufficient conditions for the existence of such triangles. If \mathcal E is an extension-closed subcategory of a pre-extriangulated category \mathfrak C having almost split \mathfrak s-triangles, we obtain necessary and sufficient conditions for \mathcal E to have almost split \mathfrak s-triangles using the approximation properties of a certain class of objects.
