摘要
将n-FI内射模推广到复形层面.首先,给出n-FI内射复形的定义;其次,证明复形C是n-FI内射复形当且仅当每个层次是n-FI内射模,且对任意FP-内射维数不超过n的复形X,复形Hom(X,C)正合;最后,利用复形的覆盖刻画n-FI内射复形.
n-FI injective modules were generalized to the complex level.Firstly,we gave the definition of n-FI injective complexes.Secondly,we proved that a complex C was n-FI injective complex if and only if each term was n-FI injective module and Hom(X,C)was acyclic for any complex X with FP-id(X)≤n.Finally,n-FI injective complexes were characterized by covers of complexes.
作者
原雪娟
张翠萍
YUAN Xuejuan;ZHANG Cuiping(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2023年第6期1319-1323,共5页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11761060)。
