吉林大学学报（理学版）2025，Vol.63Issue(6)：1579-1585,7.DOI:10.13413/j.cnki.jdxblxb.2025014
Gorenstein u-S-平坦模
Gorenstein u-S-Flat Modules
摘要
Abstract
Let R be a ring,and S be a multiplicative subset of R.Firstly,based on the u-S-flat modules,we introduce the concept of Gorenstein u-S-flat modules,and use the long exact sequence theorem and the properties of u-S-flat modules to study the homological properties of Gorenstein u-S-flat modules,and give equivalent characterizations of Gorenstein u-S-flat modules.Secondly,we prove that the class of Gorenstein u-S-flat modules is projective solvable class if and only if it is closed with respect to extensions.关键词
Gorenstein u-S-平坦模/u-S-平坦模/u-S-内射模Key words
Gorenstein u-S-flat module/u-S-flat module/u-S-injective module分类
数理科学引用本文复制引用
王珺杰,杨刚..Gorenstein u-S-平坦模[J].吉林大学学报（理学版）,2025,63(6):1579-1585,7.基金项目
国家自然科学基金(批准号:12161049). （批准号:12161049）
