| 分次Abel正则环的结构 |
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| 引用本文： | 陆仲坚.分次Abel正则环的结构[J].纯粹数学与应用数学,2001,17(2):175-179. |
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| 作者姓名： | 陆仲坚 |
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| 作者单位： | 浙江绍兴文理学院数学系, |
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| 摘 要： | 首先给出了 gr-正则环为分次除环的两个充要条件 ,其次讨论了分次正则环r G(R)和分次 Jacobson根 JG(R)之间的关系 ,最后给出了分次 Abel正则环的结构定理 .
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| 关 键 词： | gr-正则环 分次除环 分次本原环 分次Abel正则环 |
| 文章编号： | 1008-5513(2001)02-0175-05 |
| 修稿时间： | 1999年11月24日 |
On the structure of the gr-abelian regular rings |
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| LU Zhong-jian.On the structure of the gr-abelian regular rings[J].Pure and Applied Mathematics,2001,17(2):175-179. |
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| Authors: | LU Zhong-jian |
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| Abstract: | Firstly,two sufficient and necessary conditions that a gr-regular ring is a graded division ring are siven. Next, the relationship between graded regular radical r g(R) and graded Jacobson radical J G(R) is investigated.Finally,a structure theorem of the gr-abelian regular rings is presented. |
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| Keywords: | gr-regular ring graded division fing graded primivity ring gr-avelian reguiar ring |
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