Jordan-Hölder theorems for derived categories of derived discrete algebras

Abstract

For any positive integer $n$, $n$-derived-simple derived discrete algebras are classified up to derived equivalence. Furthermore, the Jordan-Hölder theorems for all kinds of derived categories of derived discrete algebras are obtained.

References in corpus (3)

• Ladders and simplicity of derived module categories
• Recollements of derived categories III: finitistic dimensions
• Homotopy categories of injective modules over derived discrete algebras

Cited by in corpus (5)

• Derived categories of graded gentle one-cycle algebras
• Singular equivalences and Auslander-Reiten conjecture
• Recollements in stable $\infty$-categories
• The equivalence of two discretenesses of triangulated categories
• Examples of finite dimensional algebras which do not satisfy the derived Jordan--Hölder property