| Γ-环的拟幂零根 |
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| 引用本文： | 陈维新. Γ-环的拟幂零根[J]. 浙江大学学报(工学版), 1997, 0(1) |
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| 作者姓名： | 陈维新 |
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| 作者单位： | 浙江大学数学系 |
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| 摘 要： | 本文在Γ－环中导入一个介于强幂零和诣零之间的概念：幂零，然后研讨由幂零确定的根．首先借用拟Ｐ－根方式得到了拟幂零根，然后，在Ｐ是同态闭的条件下用超限归纳法构造出拟Ｐ－根．这样作为特款，拟幂零根，拟强幂零根和拟强诣零根都可用超限归纳法构造出来
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| 关 键 词： | Γ－环；幂零；拟幂零根；拟P－根；超限归纳法 |
The quasi-nilpotent radical of gamma rings |
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| Chen Weixin. The quasi-nilpotent radical of gamma rings[J]. Journal of Zhejiang University(Engineering Science), 1997, 0(1) |
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| Authors: | Chen Weixin |
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| Abstract: | In this paper we introduce a concept nilpotency between strongly nilpotency and nil and study the radical determined by nilpotency.First of all we obtain quasi-niloptent radical with the method fo quasi-P radicals.Then when P is homomorphically closed,the general quasi-P radicals are constructed by transfinite induction method.Thus as some special cases the quasi-nilpotent radical,the quasi-strongly nilpotent radical and quasi-strongly nil radical are constructed by transfinite induction method. |
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| Keywords: | gamma ring nilpotency quasi-nilpotent radical quasi-P radical transfinite induction method |
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