33 citations · 188 across the 19 of their papers we have counts for
5 papers · 1 filter
Extriangulated ideal quotients, with applications to cluster theory and gentle algebras
Xin Fang, Mikhail Gorsky, Yann Palu +2
We extend results of Brüstle-Yang on ideal quotients of 2-term subcategories of perfect derived categories of non-positive dg algebras to a relative setting. We find a new interpre…
Some applications of extriangulated categories
Yann Palu
Extriangulated categories axiomatize extension-closed subcategories of triangulated categories and generalise both exact categories and triangulated categories. This survey article…
Hereditary extriangulated categories: Silting objects, mutation, negative extensions
Mikhail Gorsky, Hiroyuki Nakaoka, Yann Palu
In this article, we initiate the study of hereditary extriangulated categories. Many important categories arising in representation theory in connection with various theories of mu…
A generalization of perfectly clustering words and band bricks for certain gentle algebras
Benjamin Dequêne, Mélodie Lapointe, Yann Palu +3
We generalize the perfectly clustering words of Simpson and Puglisi and relate them to band bricks over certain gentle algebras. This allows us to prove a generalization of a conje…
A characterisation of higher torsion classes
Jenny August, Johanne Haugland, Karin M. Jacobsen +3
Let be an abelian length category containing a -cluster tilting subcategory . We prove that a subcategory of is a -torsion class if a…