| FCG-内射模对某些环的刻画 |
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| 引用本文： | 班秀和.FCG-内射模对某些环的刻画[J].西南师范大学学报(自然科学版),2006,31(1):24-26. |
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| 作者姓名： | 班秀和 |
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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(0229021,0447038)，广西科学基金资助项目(0575052) |
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| 摘 要： | 用FCG内射模刻画了V环、半单环、QF环等特殊环.另外,还给出了FCG遗传环是遗传环、FCG内射模的子模也是FCG内射模的条件.
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| 关 键 词： | FCG-M-内射模 FCG-内射模 左V-环 半单环 QF-环 FCG-遗传环 |
| 文章编号： | 1000-5471（2006）01-0024-03 |
| 收稿时间： | 2005-03-28 |
| 修稿时间： | 2005年3月28日 |
Characterizations of Some Rings by FCG-Injective Modules |
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| BAN Xiu-he.Characterizations of Some Rings by FCG-Injective Modules[J].Journal of Southwest China Normal University(Natural Science),2006,31(1):24-26. |
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| Authors: | BAN Xiu-he |
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| Institution: | Dept. of Mathematics and Computer Science, Guangxi Education University, Nanning Guangxi 530001, China |
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| Abstract: | Left V-rings,semisimple rings,QF-rings,et al.are characterized by FCG-injective modules,improving the results in documents.In addition,condition under which a FCG-hereditary ring to be hereditary and condition under which a submodule of a FCG-injective module to be FCG-injective are given respectively. |
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| Keywords: | FCG-M-injective module FCG-injective module left V-ring semisimple ring QF-ring FCG-hereditary ring |
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