复形的Gorenstein(L,A)-内射维数  

Gorenstein(L,A)-Injective Dimension of Complexes

作　　者：刘妍平 LIU Yanping(College of Economics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学经济学院,兰州730070

出　　处：《吉林大学学报（理学版）》2024年第3期521-528,共8页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11861055);甘肃省教育厅创新基金(批准号:2021A-002).

摘　　要：设(L,A)是一给定的完备对偶对.首先,引入复形的Gorenstein(L,A)-内射维数,给出其刻画,并证明复形的Gorenstein(L,A)-内射维数不超过内射维数;其次,讨论复形的相对上同调和Tate上同调,得到联系绝对、相对、Tate上同调的长正合序列.Let(L,A)be a fixed complete duality pair.Firstly,the author introduced the Gorenstein(L,A)-injective dimension of complexes,gave its characterization,and proved that Gorenstein(L,A)-injective dimension of complexes was not larger than injective dimension.Secondly,the author also discussed relative cohomology and Tate cohomology of complexes,and obtained the long exact sequence connecting absolute,relative and Tate cohomology.

关 键 词：对偶对 Gorenstein(L A)-内射维数 Tate上同调 长正合序列 

分 类 号：O153.3[理学—数学]