On the Iyama–Yoshino reduction in extriangulated categories
Abstract
Abstract In this paper, we provide an interpretation of the existing reduction process for extriangulated categories in general. This process allows us to obtain a new category which, for well-known cases, admits a triangulated structure. We will show that, in general, this new category is extriangulated, but not necessarily triangulated.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Rings
Modules
and Algebras
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Boletín de la Sociedad Matemática Mexicana
- Volume
- 32
- Issue
- 1
- Publication date
- 16 February 2026
- Language
- EN