摘要
设R是右n-凝聚环.引入Gorenstein n-平坦模的概念,给出这类模的一些等价刻画,证明了如果Gorenstein n-平坦模关于扩张封闭,则任意左R-模都有Gorenstein n-平坦覆盖.
Let R be a right n-coherent ring.The notion of Gorenstein n-flat modules is introduced,and some equivalent characterizations of the class of Gorenstein n-flat left R-modules are presented.It is proved that all left modules have Gorenstein n-flat covers if the class of Gorenstein n-flat left R-modules is closed under extensions.
作者
张翠萍
薛秀霞
ZHANG Cui-ping;XUE Xiu-xia(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)
出处
《西北师范大学学报（自然科学版）》
CAS
北大核心
2020年第2期29-33,共5页
Journal of Northwest Normal University(Natural Science)
基金
国家自然科学基金资助项目(11361051)。
