Homological Dimensions of Extriangulated Categories and Recollements  

作　　者：Weili Gu Xin Ma Lingling Tan 

机构地区：[1]Department of Mathematics,Nanjing University,Nanjing 210093,China [2]College of Science,Henan University of Engineering,Zhengzhou 451191,China [3]School of Mathematical Sciences,Qufu Normal University,Qufu,Shandong 273165,China

出　　处：《Algebra Colloquium》2023年第4期667-684,共18页代数集刊（英文版）

基　　金：This work was supported by the NSFC(12001168);Henan University of Engineering(DKJ2019010);the Key Research Project of Education Department of Henan Province(21A110006);the project ZR2021QA001 of Shandong Provincial Natural Science Foundation.

摘　　要：Let(A,B,C)be a recollement of extriangulated categories.In this paper we introduce the global dimension and extension dimension of extriangulated categories,and give some upper bounds of global dimensions and extension dimensions of the categories involved in(A,B,C),which give a simultaneous generalization of some results in recollements of abelian categories and triangulated categories.

关 键 词：extriangulated category RECOLLEMENT global dimension extension dimension 

分 类 号：O154.1[理学—数学]