摘要
本文证明了任意环的整体Ding投射维数和整体Ding内射维数一致,研究了奇点范畴和相对于Ding模的稳定范畴间的关系,并刻画了Gorenstein (正则)环以及环的整体维数的有限性.
We prove that the global Ding projective dimension and global Ding injective dimension coincide for any ring. We investigate the relationship between singularity categories and stable categories with respect to Ding modules, and characterize Gorenstein(regular) rings and the finiteness of left global dimension of rings in terms of singularity categories and Ding modules.
作者
汪军鹏
狄振兴
Jun Peng WANG;Zhen Xing DI(Department of Economics,Northwest Normal University, Lanzhou 730070,P.R.China;Department of Mathematics,Northwest Normal University, Lanzhou 730070,P.R.China)
出处
《数学学报（中文版）》
CSCD
北大核心
2019年第2期331-344,共14页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金资助项目(11601433)
中国博士后自然科学基金资助项目(2106M602945XB)
