Gorenstein稳定范畴的粘合和等价不变量  

Invariants Along the Recollements and Equivalences of Gorenstein Stable Categories

作　　者：高楠[1] 陈浩标 Gao Nan;Chen Haobiao(Department of Mathematics,Shanghai University,Shanghai 200444,China)

机构地区：[1]上海大学理学院数学系,上海200444

出　　处：《南京师大学报（自然科学版）》2024年第2期1-7,共7页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11771272、11871326、12271333).

摘　　要：引入了Gorenstein投射刚性维数,以Gorenstein投射模的稳定范畴的粘合为主要工具,证明了Gorenstein投射刚性维数是Morita等价、Gorenstein稳定等价和导出等价的不变量,刻画了某些代数类的Gorenstein投射刚性维数.We introduce the Gorenstein projective rigidity dimension,and show that the Gorenstein projective rigidity dimension is invariant with respect to Morita equivalences,Gorenstein stable equivalences and derived equivalences,where the recollements of the stable categories of Gorenstein projective modules are the main tool.Furthermore,we characterize the Gorenstein projective rigidity dimension of some classes of algebras.

关 键 词：GORENSTEIN投射模 Gorenstein投射刚性维数 Gorenstein稳定等价 三角范畴的粘合 

分 类 号：O154.2[理学—数学]