吉林大学学报（理学版）2025，Vol.63Issue(6)：1572-1578,7.DOI:10.13413/j.cnki.jdxblxb.2025081
Gorenstein u-S-内射模
Gorenstein u-S-Injective Modules
摘要
Abstract
Let R be a ring,and S be a multiplicative subset of R.Firstly,we introduce the notion of Gorenstein u-S-injective modules by means of the theory of Hom functors.Secondly,we study the homological properties of Gorenstein u-S-injective modules by using the u-S-Five Lemma and the method of constructing pull-back diagrams.Particalarly,it is shown that an R-module M is Gorenstein u-S-injective if and only if ExtiR(E,M)is u-S-torsion module for any u-S-injective R-module E and any integer i＞0,and M admits a proper left u-S-injective-resolution.The class of Gorenstein u-S-injective modules is closed under finite direct sums.关键词
u-S-内射模/Gorenstein u-S-内射模/u-S-torsion模Key words
u-S-injective module/Gorenstein u-S-injective module/u-S-torsion module分类
数理科学引用本文复制引用
卢柯,杨刚..Gorenstein u-S-内射模[J].吉林大学学报（理学版）,2025,63(6):1572-1578,7.基金项目
国家自然科学基金(批准号:12161049). （批准号:12161049）
