| 分次环的分次根 |
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| 引用本文： | 时洪波. 分次环的分次根[J]. 数学研究, 2005, 38(2): 143-147 |
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| 作者姓名： | 时洪波 |
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| 作者单位： | 南京财经大学数学系,南京,210003 |
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| 摘 要： | 给出了建立分次环根的一般方法．作为其应用，建立了分次环的分次Brown—McCoy根，并给出了Brown—McCoy半单分次环的结构定理．
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| 关 键 词： | 根性质 弱g-正则分次理想 弱正则分次理想 B^g-半单 |
| 修稿时间： | 2004-03-29 |
Graded Radical of G-graded Rings |
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| Shi Hongbo. Graded Radical of G-graded Rings[J]. Journal of Mathematical Study, 2005, 38(2): 143-147 |
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| Authors: | Shi Hongbo |
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| Abstract: | A general approach to the radical of a graded ring is proposed. The graded Brown-McCoy radical for group-graded rings is then developed as another instance of this idea. Furthermore, the structure theorem for Brown-McCoy semi-simple graded rings is also given. |
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| Keywords: | Radical property Weak g-regular graded ideal Weak regular graded ideal B~g-semisimple. |
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