吉林大学学报（理学版）2024，Vol.62Issue(4)：787-792,6.DOI:10.13413/j.cnki.jdxblxb.2023476
相对于对偶对的Cartan-Eilenberg复形
Cartan-Eilenberg Complexes Relative to Duality Pairs
摘要
Abstract
Let(A,B)be a duality pair in the category of modules.Firstly,the concepts of Cartan-Eilenberg-A and Cartan-Eilenberg-B complexes are introduced.Secondly,it is proven that(C-E(A),C-E(B))is a duality pair in the category of complexes,where C-E(A)and C-E(B)denote the class of Cartan-Eilenberg-Acomplexes and Cartan-Eilenberg-B complexes,respectively.Finally,the application of duality pairs to complexes is given.关键词
对偶对/Cartan-Eilenberg-A复形/Cartan-Eilenberg-B复形Key words
duality pair/Cartan-Eilenberg-A complex/Cartan-Eilenberg-B complex分类
数理科学引用本文复制引用
关佳瑷,卢博..相对于对偶对的Cartan-Eilenberg复形[J].吉林大学学报（理学版）,2024,62(4):787-792,6.基金项目
国家自然科学基金(批准号:12061061)、中央高校基本科研业务费专项基金(批准号:31920230173)和甘肃省第一批陇原青年英才项目. （批准号:12061061）
