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аналитика - Extriangulated Categories
Silting Reduction and Picture Categories in 0-Auslander Extriangulated Categories: A Framework for Studying Categorifications of Cluster Algebras
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.
Stratifying Systems and the Jordan-Hölder Property in Extriangulated Categories
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".
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