WebJan 11, 2024 · Extriangulated category was introduced by H. Nakaoka and Y. Palu to give a unification of properties in exact categories and triangulated categories. A notion of … Web2.3] gave a similar construction of triangulated quotient category in another manner. He proved that if X is a functorially nite subcategory of a triangulated category C with Auslander-Reiten translation ˝, and if X satis es the equation ˝X = X , then the quotient category C=X is a triangulated category.

Triangulated quotient categories revisited

WebJul 31, 2016 · Some of these constructions had been worked, for instance, in [12,5] where it is established that, under certain conditions, quotients categories carry triangulated … WebAug 24, 2024 · Extriangulated categories were introduced by Nakaoka and Palu by extracting the similarities between exact categories and triangulated categories. A notion of homotopy cartesian square in an extriangulated category is defined in this article. We prove that in an extriangulated category with enough projective objects, the extension subcategory of two … skechers service client

Abelian Quotients Arising from Extriangulated Categories via …

WebA notion of mutation of subcategories in an extriangulated category is defined in this article. Let $\cal A$ be an extension closed subcategory of an extriangulated category $\cal C$. … WebApr 10, 2012 · A notion of mutation of subcategories in a right triangulated category is defined in this paper. When (Z,Z) is a D-mutation pair in a right triangulated category C, … WebA notion of mutation of subcategories in a right triangulated category is defined in this paper. When (Z,Z) is a D−mutation pair in a right triangulated category C, the quotient category Z/D carries naturally a right triangulated structure. Moreover, if the right triangulated category satisfies some reasonable conditions, then the right triangulated … suzy b anthony coin is worth