| 左分次GF-封闭环上的Gorenstein分次平坦模 |
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| 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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| 作者姓名： | 毛海玲 杨晓燕 |
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| 作者单位： | 西北师范大学数学与统计学院 |
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| 基金项目： | 国家自然科学基金项目（11761060）. |
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| 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.
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| 关 键 词： | Gorenstein分次平坦模 投射可解类 左分次GF-封闭环 |
| 收稿时间： | 2018-11-23 |
On Gorenstein Graded Flat Module of Left Graded GF-Closed Ring |
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| MAO Hai-ling,YANG Xiao-yan. On Gorenstein Graded Flat Module of Left Graded GF-Closed Ring[J]. Journal of southwest china normal university(natural science edition), 2019, 44(8): 18-22 |
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| Authors: | MAO Hai-ling YANG Xiao-yan |
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| Affiliation: | School of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
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| 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. |
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| Keywords: | Gorenstein graded flat module projectively resolving class left graded GF-closed ring |
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