
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.


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silting-reduction-and-picture-categories-in-0-auslander-extriangulated-categories-a-framework-for-studying-categorifications-of-cluster-algebras


Silting Reduction and Picture Categories in 0-Auslander Extriangulated Categories: A Framework for Studying Categorifications of Cluster Algebras


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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".


stratifying-systems-and-the-jordan-hölder-property-in-extriangulated-categories-


Stratifying Systems and the Jordan-Hölder Property in Extriangulated Categories
