n-exact Categories Arising from n-exangulated Categories  

作　　者：Jian He Pan Yue Zhou 

机构地区：[1]Department of Applied Mathematics,Lanzhou University of Technology,Lanzhou,730050,P.R.China [2]School of Mathematics and Statistics,Changsha University of Science and Technology,Changsha,410114,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2023年第9期1781-1794,共14页数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.12171230);supported by the Hunan Provincial Natural Science Foundation of China(Grant No.2023JJ30008)。

摘　　要：Let l be a Krull-Schmidt n-exangulated category and A be an n-extension closed subcategory of l.Then A inherits the n-exangulated structure from the given n-exangulated category in a natural way.This construction gives n-exangulated categories which are neither n-exact categories in the sense of Jasso nor(n+2)-angulated categories in the sense of Geiss-Keller-Oppermann in general.Furthermore,we also give a sufficient condition on when an n-exangulated category A is an n-exact category.These results generalize work by Klapproth and Zhou.

关 键 词：(n+2)-angulated categories n-exact categories n-extension closed subcategories n-exangulated categories 

分 类 号：O154.1[理学—数学]