| 关于有限生成投射模为自由模的环 |
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| 引用本文： | 佟文廷.关于有限生成投射模为自由模的环[J].数学研究及应用,1989,9(3):319-323. |
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| 作者姓名： | 佟文廷 |
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| 作者单位： | 南京大学数学系 |
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| 基金项目： | 国家自然科学基金资助项目. |
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| 摘 要： | 若环R上一切有限生成投射模都是自由模,则称R为PF环,本文讨论了PF环的一些性质及其一些应用。
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| 关 键 词： | 环 PF环 自由模 投射模 |
| 收稿时间： | 1987/8/31 0:00:00 |
Rings in which finitely generated projective modules are free |
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| Tong Wenting.Rings in which finitely generated projective modules are free[J].Journal of Mathematical Research with Applications,1989,9(3):319-323. |
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| Authors: | Tong Wenting |
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| Abstract: | If R is a ring in which finitely generated projective R-modules are free R-modules, then R is called a PF ring. It is well known that the polynomial rings over an PID are the PF rings. In this paper we obtained some properties of the PF rings, and gave some applications on the PF rings. |
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