摘要
研究了两类环上模的Gorenstein投射性、内射性与平坦性.首先,通过环上每个单模具有本质的平坦包络,得到环上模的Gorenstein投射性与内射性的刻画.然后,以凝聚环为中介,研究了满足一定条件下环上模的几种平坦性.
The Gorenstein projective,injective and flatness of modules over two types of rings are studied.First of all,through the Gorenstein projective and injective characterizations of modules over a ring are obtained.Then,some flatness properties of modules over rings under certain conditions are studied by using condensed rings as mediators.
作者
李艳午
袁力
陈倩倩
LI Yanwu;YUAN Li;CHEN Qianqian(Department of Basic Education,Wuhu Institute of Technology,Wuhu 241003,Anhui,China)
出处
《山西师范大学学报（自然科学版）》
2023年第4期9-14,共6页
Journal of Shanxi Normal University(Natural Science Edition)
基金
安徽省教育厅2020年自然科学研究重点项目(KJ2020A0916)。
