| 完全AC分解 |
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| 引用本文： | 侯婷婷,杨晓燕.完全AC分解[J].吉林大学学报(理学版),2023,61(1):73-78. |
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| 作者姓名： | 侯婷婷 杨晓燕 |
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| 作者单位： | 西北师范大学 数学与统计学院, 兰州 730070 |
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| 摘 要： | 首先, 引入复形的Gorenstein AC平坦维数的定义, 并对任意复形M, 给出GFacdim M≤n的刻画； 其次, 证明若复形M有有限的Gorenstein AC平坦维数, 则M存在一个完全AC分解.
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| 关 键 词： | 复形 Gorenstein AC平坦模 完全AC分解 |
| 收稿时间： | 2022-01-07 |
Complete AC Resolution |
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| HOU Tingting,YANG Xiaoyan.Complete AC Resolution[J].Journal of Jilin University: Sci Ed,2023,61(1):73-78. |
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| Authors: | HOU Tingting YANG Xiaoyan |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | Firstly, we introduced the definition of Gorenstein AC flat dimension for complexes and gave some characterizations of GFacdim M≤n for any complex M. Secondly, we proved that if the complex M had finite Gorenstein AC flat dimension, then M had a complete AC resolution. |
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| Keywords: | complex Gorenstein AC flat module complete AC resolution |
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