引用本文:毛海玲, 杨晓燕.左分次GF-封闭环上的Gorenstein分次平坦模[J].西南师范大学学报(自然科学版),2019,44(8):18~22
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左分次GF-封闭环上的Gorenstein分次平坦模
毛海玲, 杨晓燕
西北师范大学 数学与统计学院, 兰州 730070
摘要:
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.
关键词:  Gorenstein分次平坦模  投射可解类  左分次GF-封闭环
DOI:10.13718/j.cnki.xsxb.2019.08.004
分类号:O153.3
基金项目:国家自然科学基金项目(11761060).
On Gorenstein Graded Flat Module of Left Graded GF-Closed Ring
MAO Hai-ling, YANG Xiao-yan
School of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
Abstract:
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.
Key words:  Gorenstein graded flat module  projectively resolving class  left graded GF-closed ring
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