| 相对平坦模的$\aleph$-积 |
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| 引用本文： | 赵仁育,刘仲奎.相对平坦模的$\aleph$-积[J].数学研究及应用,2008,28(4):864-870. |
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| 作者姓名： | 赵仁育 刘仲奎 |
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| 作者单位： | 西北师范大学经济管理学院, 甘肃 兰州 730070;西北师范大学数学系, 甘肃 兰州 730070 |
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| 基金项目： | 国家自然科学基金(No.10171082). |
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| 摘 要： | 设$M$是右$R$-模, $\aleph$是一个无穷基数. 称右$R$-模$N$是$\aleph$-$M$-凝聚的,如果对任意的$B/A\hookrightarrow mR$,其中设$M$是右$R$-模, $\aleph$是一个无穷基数. 称右$R$-模$N$是$\aleph$-$M$-凝聚的,如果对任意的$B/A\hookrightarrow mR$,其中设$M$是右$R$-模, $\aleph$是一个无穷基数. 称右$R$-模$N$是$\aleph$-$M$-凝聚的,如果对任意的$B/A\hookrightarrow mR$,其中设$M$是右$R$-模, $\aleph$是一个无穷基数. 称右$R$-模$N$是$\aleph$-$M$-凝聚的,如果对任意的$B/A\hookrightarrow mR$,其中$0\leq A
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| 关 键 词： | $\aleph$-$M$-凝聚模 $\aleph$-$M$-凝聚环 $M$-平坦模. |
| 收稿时间： | 2006/10/12 0:00:00 |
| 修稿时间： | 2007/3/23 0:00:00 |
$\aleph$-Products of Relative Flat Modules |
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| ZHAO Ren Yu and LIU Zhong Kui.$\aleph$-Products of Relative Flat Modules[J].Journal of Mathematical Research with Applications,2008,28(4):864-870. |
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| Authors: | ZHAO Ren Yu and LIU Zhong Kui |
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| Institution: | College of Economics and Management, Northwest Normal University, Gansu 730070, China;Department of Mathematics, Northwest Normal University, Gansu 730070, China |
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| Abstract: | Let $M$ be a right $R$-module and $\aleph$ an infinite cardinal number. A right $R$-module $N$ is called $\aleph$-$M$-coherent if for any Let $M$ be a right $R$-module and $\aleph$ an infinite cardinal number. A right $R$-module $N$ is called $\aleph$-$M$-coherent if for any Let $M$ be a right $R$-module and $\aleph$ an infinite cardinal number. A right $R$-module $N$ is called $\aleph$-$M$-coherent if for any Let $M$ be a right $R$-module and $\aleph$ an infinite cardinal number. A right $R$-module $N$ is called $\aleph$-$M$-coherent if for any $0\leq A
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| Keywords: | $\aleph$-$M$-coherent module $\aleph$-$M$-coherent ring $M$-flat module |
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