| M-环之BM-结构 |
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| 引用本文： | 刘石平.M-环之BM-结构[J].湖南师范大学自然科学学报,1986(4). |
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| 作者姓名： | 刘石平 |
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| 摘 要： | 本文试图讨论环中某种特殊根可以从某类特殊环中分裂出来的问题。文中先引入M-环之概念,利用它可完全刻划能表成有单位元的单环之直和的环,由此得知任何一个M-环皆可表成其BM-根与一个BM-半单理想的直和。
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| 关 键 词： | 结合环 半单理想 直和 环的结构 |
THE BM-STRUCTURE OF M-RINGS |
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| Liu Shiping.THE BM-STRUCTURE OF M-RINGS[J].Journal of Natural Science of Hunan Normal University,1986(4). |
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| Authors: | Liu Shiping |
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| Institution: | Liu Shiping |
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| Abstract: | This paper is meant to discuss the problem of turning out some particular radicals from some particular class of rings. For this purpose we first introduce the concept of M-ring. Then we use it to characterize the rings that can be decomposed into a direct sum of simple rings with unity element.Morever, we will show that every M-ring is a direct sum of its BM-radical and a BM-semisimple ideal. |
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| Keywords: | associative ring semisimple ideal direct sum structure of rings |
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