Unbounded ladders induced by Gorenstein algebras

Pu Zhang; Yuehui Zhang; Guodong Zhou; Lin Zhu

doi:10.4064/cm7089-1-2017

Unbounded ladders induced by Gorenstein algebras

Pu Zhang
, Yuehui Zhang
, Guodong Zhou
, Lin Zhu

School of Mathematical Sciences

Shanghai Jiao Tong University

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We prove that the derived category D(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.

Original language	English
Pages (from-to)	37-56
Number of pages	20
Journal	Colloquium Mathematicum
Volume	151
Issue number	1
DOIs	https://doi.org/10.4064/cm7089-1-2017
State	Published - 2018

Keywords

(Periodic) ladder
Gorenstein algebra
Gorenstein-projective module
Recollement
Serre functor
Splitting recollement

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10.4064/cm7089-1-2017

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abstract = "We prove that the derived category D(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.",

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AU - Zhou, Guodong

AU - Zhu, Lin

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PY - 2018

Y1 - 2018

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KW - (Periodic) ladder

KW - Gorenstein algebra

KW - Gorenstein-projective module

KW - Recollement

KW - Serre functor

KW - Splitting recollement

UR - https://www.scopus.com/pages/publications/85046641307

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M3 - 文章

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IS - 1

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Unbounded ladders induced by Gorenstein algebras

Abstract

Keywords

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