Unbounded ladders induced by Gorenstein algebras
Volume 151 / 2018
Colloquium Mathematicum 151 (2018), 37-56
MSC: 18E30, 16E35, 18A40, 18A22, 16G10.
DOI: 10.4064/cm7089-1-2017
Published online: 23 October 2017
Abstract
We prove that the derived category $D(\mathop {\rm Mod}A)$ of a Gorenstein triangular matrix algebra $A$ admits an unbounded ladder. We observe that a left recollement of triangulated categories with Serre functors always sits in a ladder of period $1$. As an application, the singularity category of $A$ admits a ladder of period $1$.
