| 分次广义Γ-环的Brown-McCoy根 |
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| 引用本文： | 侯波,张子龙,徐爱华.分次广义Γ-环的Brown-McCoy根[J].数学的实践与认识,2006,36(4):218-221. |
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| 作者姓名： | 侯波 张子龙 徐爱华 |
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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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| 摘 要： | 研究了分次广义Γ-环的弱强分次B row n-M cC oy根与拟弱强分次B row n-M cC oy根,并从不同角度刻划了分次广义Γ-环的弱强分次B row n-M cC oy根.证明了任何一个分次广义Γ-环都有弱强分次B row n-M cC oy根和拟弱强分次B row n-M cC oy根,而且弱强分次B row n-M cC oy根小于等于拟弱强分次B row n-M c-C oy根.
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| 关 键 词： | 分次广义Γ-环 弱强Brown-McCoy根 拟弱强Brown-McCoy根 |
| 修稿时间： | 2003年7月12日 |
The Brown-McCoy Radicals of the Graded Generalized Γ-rings |
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| HOU Bo,ZHANG Zi-long,XU Ai-hua.The Brown-McCoy Radicals of the Graded Generalized Γ-rings[J].Mathematics in Practice and Theory,2006,36(4):218-221. |
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| Authors: | HOU Bo ZHANG Zi-long XU Ai-hua |
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| Abstract: | In this paper,we define and study the concept of the weakly strong graded Brown-McCoy radical and the quasi-weakly strong graded Brown-McCoy radical in the graded generalized Γ-ring.Let R be any graded generalized Γ-ring,it must have a weakly strong graded Brown-McCoy radical and a quasi-weakly strong graded Brown-McCoy radical which is less than or equal to the strong graded Brown-McCoy radical. |
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| Keywords: | graded generalized Γ-ring weakly strong graded Brown-McCoy radical quasi-weakly strong graded Brown-McCoy radical |
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