| 分次环上的分次Brown-McCoy根 |
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| 引用本文： | 侯波.分次环上的分次Brown-McCoy根[J].河北师范大学学报(自然科学版),2003,27(1):12-14. |
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| 作者姓名： | 侯波 |
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| 作者单位： | 河北师范大学,数学与信息科学学院,河北,石家庄,050016 |
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| 基金项目： | 河北省自然科学基金资助项目(102132) |
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| 摘 要： | 通过引入弱g-正则元的概念，对于无单位元分次环R，给出以内部元素刻画的分次Brown-McCoy根BMG（R）。证明了任何分次环都有1个分次Brown-McCoy根，并且当R有1时，BMG（R）即为通常定义的BMgr(R)。另外还证明了BMG（R）具有遗传性。
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| 关 键 词： | 分次环 弱g－正则元 分次Brown－McCoy根 分次Brown－McCoy半单 分次理想 |
| 文章编号： | 1000-5854(2003)01-0012-03 |
Graded Brown - McCoy Radicals of Graded Rings |
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| HOU Bo.Graded Brown - McCoy Radicals of Graded Rings[J].Journal of Hebei Normal University,2003,27(1):12-14. |
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| Authors: | HOU Bo |
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| Abstract: | The notion of weakly g - regular element is introducted and a definition of graded Brown -McCoy radical is given by element property for general monoid graded rings(not necessarily with 1). That every graded ring must have a graded Brown - McCoy radical is proved. BMG(R) which is equal to the usual BMgr(R) when R has1.By the way,that BMG(.R) is a hereditary radical is got. |
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| Keywords: | weakly g - regular elements graded Brown - McCoy radicals graded Brown - McCoy semisimplicity |
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