Gorenstein代数的导出范畴的粘合

曲靖师范学院学报 ›› 2020, Vol. 39 ›› Issue (6): 1-4.

• 数学研究 • 下一篇

Gorenstein代数的导出范畴的粘合

秦永云

曲靖师范学院数学与统计学院, 云南曲靖 655011

收稿日期:2020-10-27 出版日期:2020-11-26 发布日期:2021-01-13
作者简介:秦永云,曲靖师范学院数学与统计学院副教授,博士,主要从事代数表示论研究.
基金资助:
国家自然科学基金“微分分次代数的recollement及Gorenstein对称猜想”(11701321).

Recollements of Derived Categories of Gorenstein Algebras

QIN Yongyun

School of Mathematics and Statistics,Qujing Normal University, Qujing Yunnan 655011, P. R. China

Received:2020-10-27 Published:2020-11-26 Online:2021-01-13

摘要/Abstract

摘要： 研究Gorenstein代数的导出范畴的粘合, 证明了以下结论: 设A和C均为Gorenstein代数,且其导出范畴DA有一个关于DB和DC的2-粘合,那么,该粘合可完备为一无界梯子; 此外, 该粘合还诱导其Gorenstein投射模的稳定范畴上的周期为2的无界梯子.

关键词: Gorenstein代数, 导出范畴, 粘合, 梯子, Gorenstein投射模.

Abstract: This paper mainly studies Recollements of derived categories of Gorenstein algebras.Let A and C be Gorenstein algebras,it is proved that a 2-recollemet of the derived categories (DB, DA, DC) can be completed to an unbounded ladder. This recollement induces an unbounded ladder of period 2 between their stable categories of Gorenstein projective modules.

Key words: Gorenstein algebras, derived category, recollement, ladder, Gorenstein projective module

中图分类号:

O154.1

秦永云. Gorenstein代数的导出范畴的粘合[J]. 曲靖师范学院学报, 2020, 39(6): 1-4.

QIN Yongyun. Recollements of Derived Categories of Gorenstein Algebras[J]. Journal of Qujing Normal University, 2020, 39(6): 1-4.

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Gorenstein代数的导出范畴的粘合

Recollements of Derived Categories of Gorenstein Algebras

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