摘要
设R是分次环.证明了Gorenstein分次平坦模类为投射可解类当且仅当它是扩张封闭的.还引入了左分次GF-封闭环,刻画了此环上Gorenstein分次平坦模的一些性质.
Let Rbe a graded ring. We prove that the class of Gorenstein graded flat modules is projectively resolving class if and only if it is closed under extension. We also introduce the concept of left graded GF-closed rings, some properties of Gorenstein graded flat modules over this graded ring are given.
作者
毛海玲
杨晓燕
MAO Hai-ling;YANG Xiao-yan(School of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)
出处
《西南师范大学学报（自然科学版）》
CAS
北大核心
2019年第8期18-22,共5页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(11761060)
