Recollements,Tilting Homological Dimensions and Higher-Dimensional Auslander-Reiten Theory  

作　　者：Xuerong FU Hailou YAO 

机构地区：[1]College of Mathematics and Statistics,Heze University,Shandong 274015,P.R.China [2]College of Applied Sciences,Beijing University of Technology,Beijing 100124,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2020年第3期263-274,共12页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11671126).

摘　　要：In this paper we mainly investigate the behavior of tilting homological dimensions of the categories involved in the recollement of abelian categories(A,B,C).In particular,when abelian category B is hereditary,we give the connections between n-almost split sequences in the categories of(A,B,C).

关 键 词：RECOLLEMENT tilting homological dimension n-almost split sequence 

分 类 号：O154.1[理学—数学]