| 正合零因子下模的G_C-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G_C-同调维数[J].吉林大学学报(理学版),2018,56(6):1349-1353. |
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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, 兰州 730070
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| 摘 要： | 设R是具有单位元的交换Noether环,C是半对偶化模,x是R上的正合零因子.考虑正合零因子下模的G_C-同调维数,证明了若M是G_C-投射(内射,平坦)R-模,则M/(xM)是G_C/(xC)-投射(内射,平坦)R/(xR)-模.对DC-投射(内射)R-模可得类似结论.
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| 关 键 词： | 正合零因子 GC 投射(内射 平坦)模 GC 投射(内射 平坦)维数 /> |
| 收稿时间： | 2017-11-30 |
G-C-Homological Dimensions of Modules under Exact Zero Divisors |
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| GUO Shoutao,WANG Zhanping.G-C-Homological Dimensions of Modules under Exact Zero Divisors[J].Journal of Jilin University: Sci Ed,2018,56(6):1349-1353. |
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| Authors: | GUO Shoutao WANG Zhanping |
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| Institution: | College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
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| Abstract: | Let R be a commutative ring with identity, C bea semidualizing R-module and x be an exact zero divisor over R. We considered the GC-homological dimensions of modules under exact zero divisors, and proved that if M was GC-projective (injective, flat) R-module, then M/(xM) was GC/(xC)-projective (injective, flat) R/(xR)-module. And the similar conclusions could be obtained for DC-projective(injective) R-modules. |
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| Keywords: | exact zero divisor GC-projective (injective flat) module GC-projective (injective flat) dimension
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