吉林大学学报（理学版）2025，Vol.63Issue(2)：367-374,8.DOI:10.13413/j.cnki.jdxblxb.2024175
Gorenstein FP-内射复形
Gorenstin FP-Injective Complexes
摘要
Abstract
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 →E0 →E1 →E2 →…of FP-injective complexes with G=Ker(E0→E1)on coherent rings.Secondly,we prove that a complex G is Gorenstein FP-injective if and only ifGm is a Gorenstein FP-injective module for eachm ∈ℤ under certain conditions.关键词
Gorenstein FP-内射复形/Gorenstein FP-内射模/凝聚环Key words
Gorenstein FP-injective complex/Gorenstein FP-injective module/coherent ring分类
数理科学引用本文复制引用
赵思信,卢博..Gorenstein FP-内射复形[J].吉林大学学报（理学版）,2025,63(2):367-374,8.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经费项目(批准号:31920230173)和甘肃省第一批陇原青年英才项目. （批准号:12061061）
