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arXiv · 1507.07333

Unbounded ladders induced by Gorenstein algebras

Pu Zhang·Yuehui Zhang·Guodong Zhou·Lin Zhu
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Abstract

The derived category $D({\rm Mod}A)$ of a Gorenstein triangular matrix algebra $A$ admits an unbounded ladder; and this ladder restricts to $D^-({\rm Mod})$ {\rm(}resp. $D^b({\rm Mod})$, $D^b({\rm mod})$, $K^b({\rm proj})${\rm)}. 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 $1$.

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Pu Zhang, Yuehui Zhang, Guodong Zhou, Lin Zhu. 2016-04-05. Unbounded ladders induced by Gorenstein algebras. https://arxiv.org/abs/1507.07333

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