| 关于投射的拟环模 |
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| 引用本文： | 王树桂.关于投射的拟环模[J].湖南师范大学教育科学学报,1994(5). |
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| 作者姓名： | 王树桂 |
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| 作者单位： | 湖南怀化师专 怀化 |
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| 摘 要： | 本文定义了不同形式的“投射”,证明了关于投射拟环模的一些结论,给出了拟环上所有模是几乎半单的一些充要条件,证明了在这些条件下,R是正则的。本文改进了C.Maxson的一个结论:他证明了在分配生成的情况下,每一严格投射模是投射的。本文证明了这个结论在一般情形下也成立。
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| 关 键 词： | 分裂 几乎分裂 严格投射 几乎严格投射 几乎半单 |
ON PROJECTIVE NEAR--RING MODULE |
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| Wang Shugui Huaihua Teachers' college,Huaihua ,Hunan.ON PROJECTIVE NEAR--RING MODULE[J].Journal of Educational Science of Hunan Normal University,1994(5). |
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| Authors: | Wang Shugui Huaihua Teachers' college Huaihua Hunan |
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| Institution: | Wang Shugui Huaihua Teachers' college,Huaihua 418008,Hunan |
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| Abstract: | In this paper, different forms of "projection" are defined; some results ofthe projective near-ring module are proved and the necessary and sufficientconditions for all modules over a near-ring to be almost semi-simple areobtained. It is proved that R is regular under these conditions. A result of C.Maxson, who proved that every strictly projective module is projective in thedistributively generated case, has been improved in this paper, and the authorproves that the result is true in general case. |
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| Keywords: | splits almost splits strictly projective almost strictly projective almost semi--simple |
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