Unbounded ladders induced by Gorenstein algebras

Abstract

The derived category of a Gorenstein triangular matrix algebra $A$ admits an unbounded ladder, which is of period $3$ if $A=T_2(B)$. Also, a left recollement of triangulated categories with Serre functors sits in a ladder of period $1$; as an application, the singularity category of $A$ admits a ladder of period $1$.

This paper has been withdrawn by the authors due to an error in the proof of Lemma 2.5

References in corpus (1)

• Reducing homological conjectures by n-recollements

Cited by in corpus (2)

• Ladders of recollements, categories of monomorphisms and singularity categories
• Ladders of compactly generated triangulated categories and preprojective algebras