∞-Tilting Subcategories in Extriangulated Categories  

o-Tilting Subcategories in Extriangulated

作　　者：Zhen ZHANG Jiaqun WEI Shance WANG 

机构地区：[1]Department of Mathematics,Qilu Normal University,Jinan 250200,China [2]Institution of Mathematics,School of Mathematics Science,Nanjing Normal University,Nanjing 210023,China

出　　处：《Chinese Annals of Mathematics,Series B》2024年第1期151-160,共10页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.12101344,11371196);the Shan Dong Provincial Natural Science Foundation of China(No.ZR2015PA001).

摘　　要：In this paper, the authors introduce a new definition of ∞-tilting(resp. cotilting) subcategories with infinite projective dimensions(resp. injective dimensions) in an extriangulated category. They give a Bazzoni characterization of ∞-tilting(resp. cotilting)subcategories. Also, they obtain a partial Auslander-Reiten correspondence between ∞-tilting(resp. cotilting) subcategories and coresolving(resp. resolving) subcategories with an E-projective generator(resp. E-injective cogenerator) in an extriangulated category.

关 键 词：Extriangulated category ∞-Tilting subcategory Auslander-Reiten correspondence Bazzoni characterization 

分 类 号：O154.1[理学—数学]