| 关于余倾斜双模的k-挠自由模 |
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| 引用本文： | 赵志兵,杜先能. 关于余倾斜双模的k-挠自由模[J]. 数学研究及应用, 2009, 29(1): 177-184 |
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| 作者姓名： | 赵志兵 杜先能 |
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| 作者单位： | 安徽大学数学与计算科学学院, 安徽 合肥 230039;安徽大学数学与计算科学学院, 安徽 合肥 230039 |
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| 摘 要： | Let A and F be left and right Noetherian rings and ∧ωr a cotilting bimodule. A necessary and sufficient condition for a finitely generated A-module to be ω-k-torsionfree is given and the extension closure of Tω^i is discussed. As applications, we give some results of ∧ωr related to l.id（ω） ≤ k.
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| 关 键 词： | 环论 抽象代数 代数学 偏序集合 |
| 收稿时间： | 2006-12-07 |
| 修稿时间： | 2007-10-30 |
k-Torsionfree Modules with Respect to Cotilting Modules |
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| ZHAO Zhi Bing and DU Xian Neng. k-Torsionfree Modules with Respect to Cotilting Modules[J]. Journal of Mathematical Research with Applications, 2009, 29(1): 177-184 |
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| Authors: | ZHAO Zhi Bing and DU Xian Neng |
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| Affiliation: | School of Mathematics and Computational Science, Anhui University, Anhui 230039, China;School of Mathematics and Computational Science, Anhui University, Anhui 230039, China |
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| Abstract: | Let $Lambda$ and $Gamma$ be left and right Noetherian rings and $_Lambda omega_Gamma$ a cotilting bimodule. A necessary and sufficient condition for a finitely generated $Lambda$-module to be $omega$-$k$-torsionfree is given and the extension closure of $T_omega^i$ is discussed. As applications, we give some results of $_Lambda omega_Gamma$ related to $l.{rm id}(omega)leq k$. |
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| Keywords: | cotilting bimodules $omega$-$k$-torsionfree modules. |
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