Gorenstein FP-内射复形  

Gorenstin FP-Injective Complexes

作　　者：赵思信 卢博[1] ZHAO Sixin;LU Bo(College of Mathematics and Computer Science,Northwest Minzu University,Lanzhou 730030,China)

机构地区：[1]西北民族大学数学与计算机科学学院,兰州730030

出　　处：《吉林大学学报(理学版)》2025年第2期367-374,共8页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:12061061);中央高校基本科研业务经费项目(批准号:31920230173);甘肃省第一批陇原青年英才项目。

摘　　要：考虑Gorenstein FP-内射复形,首先证明在凝聚环上,复形G是Gorenstein FP-内射的当且仅当存在FP-内射复形的正合列…→E^(-1)→E^(0)→E^(1)→E^(2)→…,满足G=Ker(E^(0)→E^(1));其次证明在一定条件下,复形G是Gorenstein FP-内射的当且仅当对任意的整数m,G_(m)是Gorenstein FP-内射模.We consider Gorenstein FP-injective complexes,firstly,we prove that a complex G is Gorenstein FP-injective if and only if there is an exact sequence…→E^(-1)→E^(0)→E^(1)→E^(2)→…of FP-injective complexes with G=Ker(E^(0)→E^(1))on coherent rings.Secondly,we prove that a complex G is Gorenstein FP-injective if and only if G_(m)is a Gorenstein FP-injective module for each m∈Z under certain conditions.

关 键 词：Gorenstein FP-内射复形 Gorenstein FP-内射模 凝聚环 

分 类 号：O154.2[理学—数学]