| 直接有限环 |
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| 引用本文： | 魏俊潮.直接有限环[J].扬州大学学报(自然科学版),2005,8(2):1-3. |
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| 作者姓名： | 魏俊潮 |
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| 作者单位： | 扬州大学,数学科学学院,江苏,扬州,225002 |
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| 基金项目： | 国家自然科学基金资助项目(19971073) |
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| 摘 要： | 证明了如下结果:1)环R是直接有限环当且仅当每个右R-满射f:R→R是单射;2)若R是右C2环,则R是直接有限环当且仅当每个右R-单射f:R→R是满射当且仅当R/J(R)是直接有限环;3)设R是左半A-bel环,则R是直接有限环;4)设R,S是两个环,RVS是(R,S)双模,则C=RV
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| 关 键 词： | 直接有限环 左半Abel环 满射 右C2环 |
| 文章编号： | 1007-824X(2005)02-0001-03 |
| 修稿时间： | 2005年1月10日 |
Direct finitely rings |
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| WEI Jun-chao.Direct finitely rings[J].Journal of Yangzhou University(Natural Science Edition),2005,8(2):1-3. |
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| Authors: | WEI Jun-chao |
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| Abstract: | In this paper, it is shown that: 1) Ring R is direct finitely ring if and only if each right R-epic f: RR is monic; 2) If R is right C2 ring, then R is direct finitely ring if and only if each right R-monic f: RR is epic if and only if R/J(R) is direct finitely ring; 3) If R is left semi-Abel ring, then R is direct finitely ring; 4) Let R,S be two rings, and_( R)V_S is (R,S)-module, then C=RVOS is direct finitely ring if and only if R and S are all direct finitely rings. |
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| Keywords: | direct finitely rings left semi-Abel rings epic right C2 rings |
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