On the Iyama–Yoshino reduction in extriangulated categories

Key Points

• The study aims to interpret the reduction process for extriangulated categories and its implications for category structures.
• Analyzing existing reduction processes in extriangulated categories.
• Exploring category structures that arise from the reduction.
• Demonstrating connections to triangulated structures in well-known cases.
• The new category derived from the reduction is extriangulated.
• In specific cases, the new category admits a triangulated structure.
• The new category is not necessarily triangulated in all instances.