| FCG-M-内射模和FCG-平坦模以及一些环 |
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| 引用本文： | 李春沅,翟淑红. FCG-M-内射模和FCG-平坦模以及一些环[J]. 白城师范学院学报, 2010, 0(3): 1-5 |
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| 作者姓名： | 李春沅 翟淑红 |
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| 作者单位： | 白城师范学院数学系;白城市第一中学; |
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| 摘 要： | 本文引入了FCG-M-内射模和FCG-平坦模的概念,由此构造了四种新环:左V-环,左FCG-遗传环,FCG-IF环,FCG-正则环,并且证明出IF环、FCG-IF环和正则环、FCG-正则环之间的关系.
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| 关 键 词： | FCG-M-内射模 FCG-平坦模 有限余生成模 |
FCG-M-injective Modules and FCG-flat Modules and Some Rings |
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| LI Chun-yuan,ZHAI Shu-hong. FCG-M-injective Modules and FCG-flat Modules and Some Rings[J]. Journal of Baicheng Normal College, 2010, 0(3): 1-5 |
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| Authors: | LI Chun-yuan ZHAI Shu-hong |
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| Affiliation: | LI Chun-yuan,ZHAI Shu-hong(Department of Mathematics,Baicheng Normal College,The First Middle School of Baicheng,Baicheng 137000,China) |
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| Abstract: | This article introduces the FCG-M-injective modules and FCG-flat modules conceptions,then it construct four new rings: Left V-ring,Left FCG-hereditary Ring,FCG-IF Ring and FCG-regular Ring.The author also proves relationship between the IF Ring,FCG-IF Ring and Regular Ring,FCG-regular Ring. |
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| Keywords: | FCG-M-injective modules FCG-flat modules finitely cogenerated modules |
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