Gorenstein代数的导出范畴的粘合  

Recollements of Derived Categories of Gorenstein Algebras

作　　者：秦永云 QIN Yongyun(School of Mathematics and Statistics,Qujing Normal University,Qujing Yunnan 655011,P.R.China)

机构地区：[1]曲靖师范学院数学与统计学院,云南曲靖655011

出　　处：《曲靖师范学院学报》2020年第6期1-4,14,共5页Journal of Qujing Normal University

基　　金：国家自然科学基金“微分分次代数的recollement及Gorenstein对称猜想”(11701321).

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.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.

关 键 词：GORENSTEIN代数 导出范畴 粘合 梯子 Gorenstein投射模. 

分 类 号：O154.1[理学—数学]