| FCG-投射模与特殊环 |
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| 引用本文： | 班秀和,朱慕莲,黄容伟.FCG-投射模与特殊环[J].南阳师范学院学报,2004,3(12):1-3. |
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| 作者姓名： | 班秀和 朱慕莲 黄容伟 |
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| 作者单位： | 广西师范学院,数学与计算机科学系,广西,南宁,530001 |
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| 基金项目： | 广西自然科学基金资助项目(0229021) |
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| 摘 要： | 一个左R-模R^A称为FCG-投射模，如果对于任一有限余生成模R^M，A是M-投射的。用FCG-投射模刻画了左V-环、半单环和QF-环，引进了FCG-遗传模和FCG-遗传环的概念，并对它们进行了刻画。
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| 关 键 词： | FCG-投射模 V-环 半单环 QF-环 FCG-遗传模 |
| 文章编号： | 1671-6132(2004)12-0001-03 |
| 修稿时间： | 2004年9月25日 |
On FCG-projective Models and Special Rings |
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| BAN Xiu-heZHU Mu-lianHUANG Rong-wei.On FCG-projective Models and Special Rings[J].Journal of Nanyang Teachers College,2004,3(12):1-3. |
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| Authors: | BAN Xiu-heZHU Mu-lianHUANG Rong-wei |
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| Abstract: | According to ZHU Zhan_min,a left R_model A is called a FCG_model in case for finitely cogenerated model M, A is M_projective.By FCG_projective models left V_rings, semi_simple rings and QF_rings are discribed.Then ,the concepts of FCG_hereditary models and FCG_hereditary rings are introduced.And some equivalent conditions of FCG_hereditary models and FCG_hereditary rings are given. |
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| Keywords: | FCG-projective model V-ring semi-simple ring QF-ring FCG-hereditary model |
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