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

数学科学学院

Shanghai Jiao Tong University

科研成果: 期刊稿件 › 文章 › 同行评审

9 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	37-56
页数	20
期刊	Colloquium Mathematicum
卷	151
期	1
DOI	https://doi.org/10.4064/cm7089-1-2017
出版状态	已出版 - 2018

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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.",

keywords = "(Periodic) ladder, Gorenstein algebra, Gorenstein-projective module, Recollement, Serre functor, Splitting recollement",

author = "Pu Zhang and Yuehui Zhang and Guodong Zhou and Lin Zhu",

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AU - Zhang, Yuehui

AU - Zhou, Guodong

AU - Zhu, Lin

N1 - Publisher Copyright: © Instytut Matematyczny PAN, 2018.

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

KW - (Periodic) ladder

KW - Gorenstein algebra

KW - Gorenstein-projective module

KW - Recollement

KW - Serre functor

KW - Splitting recollement

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M3 - 文章

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ER -

Unbounded ladders induced by Gorenstein algebras

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