This paper introduces a generalized silting reduction technique for extriangulated categories and uses it to define picture categories for 0-Auslander exact dg categories, offering a new approach to understanding categorifications of cluster algebras.
This research paper introduces the concept of stratifying systems in extriangulated categories to establish the Jordan-Hölder property, demonstrating that certain subcategories of extriangulated categories inherit a structure where composition series-like filtrations have well-defined lengths and "composition factors".