| 引用本文: | 冯良贵,郝志峰.大子直积与其系数环.[J].国防科技大学学报,2004,26(2):94-99.[点击复制] |
| FENG Lianggui,HAO Zhifeng.Large Subdirect Product and Its Coeffeicient Ring[J].Journal of National University of Defense Technology,2004,26(2):94-99[点击复制] |
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| 大子直积与其系数环 |
| 冯良贵1, 郝志峰2 |
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(1.国防科技大学 理学院，湖南 长沙 410073;2.华南理工大学应用数学系，广东 广州 510063)
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| 摘要: |
| 设s为无限正则基数，F为集合I的滤子，通过模的s积和F-积给出了其系数环R相关结构的特征刻画。作为应用，一些已有的结果得到了推广。 |
| 关键词: 平坦性 无限正则基数 完全环 s-完备滤子 |
| DOI： |
| 投稿日期：2003-09-18 |
| 基金项目:数学天元基金资助项目(A0324660)；国防科技大学预研基金资助项目(JC-02-008) |
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| Large Subdirect Product and Its Coeffeicient Ring |
| FENG Lianggui1, HAO Zhifeng2 |
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(1.College of Science, National Univ. of Defense Technology, Changsha 410073, China;2.Department of Applied Mathematics, Huanan Univ.of Science and Technology, Guangzhou 510063, China)
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| Abstract: |
| Let s be an infinite regular cardinal number, F be a filter of a set I.The characterizations of the related structure on coeffeicient ring R has been given by s-product and F-product of modules.As applications,some known results has been generalized. |
| Keywords: flatness infinite regular cardinal number perfect ring,s-conplete filter |
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