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 |
(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 |
(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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