摘要
本文给出了Cartan-Eilenberg绝对clean(Cartan-Eilenberg level)复形的若干等价刻画,并证明了Cartan-Eilenberg绝对clean(Cartan-Eilenberg level)复形的类关于直和、直积、直和项、正向极限、纯子复形、纯商复形封闭。特别地,若A是CE绝对clean复形,则对于任意的n>0和任意的CE超有限表示复形X,有Extn(X,A)=0。
In this paper,some equivalent characterizations of Cartan-Eilenberg absolutely clean(Cartan-Eilenberg level)complexes are given.Also,it is proved that the class of Cartan-Eilenberg absolutely clean(Cartan-Eilenberg level)complex is closed under direct sums,direct products,direct summands,direct limits,pure subcomplexes,pure quotient complexes.In particular,if A is a CE absolutely clean complex,then Extn(X,A)=0 for any n>0 and CE type FP∞complex X.
作者
张丽英
ZHANG Liying(Lanzhou Jiaotong University, Lanzhou 730070, China)
出处
《洛阳理工学院学报（自然科学版）》
2020年第2期89-93,共5页
Journal of Luoyang Institute of Science and Technology：Natural Science Edition
