| 正合零因子下模的Gorenstein同调维数 |
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| 引用本文： | 郭寿桃,王占平.正合零因子下模的Gorenstein同调维数[J].山东大学学报(理学版),2018,53(10):17-21. |
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| 作者姓名： | 郭寿桃 王占平 |
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| 作者单位： | 西北师范大学数学与统计学院, 甘肃 兰州 730070 |
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| 基金项目： | 国家自然科学基金资助项目(11561061) |
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| 摘 要： | 设R是具有单位元的交换Noether环,x是R上的正合零因子。研究了正合零因子下模的Gorenstein同调维数,证明了若M是Gorenstein投射(内射,平坦)R-模,则M/xM是Gorenstein投射(内射,平坦)R/xR-模,得到了有关维数的结论。对Ding投射(内射)R-模可得类似的结论。
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| 关 键 词： | 正合零因子 Gorenstein投射(内射 平坦)模 Gorenstein投射(内射 平坦)维数 |
| 收稿时间： | 2017-11-07 |
Gorenstein homological dimensions of modules under exact zero-divisors |
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| GUO Shou-tao,WANG Zhan-ping.Gorenstein homological dimensions of modules under exact zero-divisors[J].Journal of Shandong University,2018,53(10):17-21. |
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| Authors: | GUO Shou-tao WANG Zhan-ping |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China |
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| Abstract: | Let R be a commutative Noetherian ring with identity, x be an exact zero-divisor over R. Gorenstein homological dimensions of modules under exact zero-divisors are investigated. M/xM is Gorenstein projective(injective, flat)R/xR-module if M is Gorenstein projective(injective, flat)R-module, the results of corresponding dimensions are gained. The result can also be obtained for Ding projective(injective)R- modules. |
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| Keywords: | Gorenstein projective(injective flat)modules Gorenstein projective(injective flat)dimensions exact zero-divisors |
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