| 关于环作为Γ－环的根 |
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| 引用本文： | 陈清华.关于环作为Γ－环的根[J].福建师范大学学报(自然科学版),1996(3). |
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| 作者姓名： | 陈清华 |
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| 摘 要： | 证明了如果Ｍ是一个环，具有素根Ｐ（Ｍ），底座Ｓｏｃ（Ｍ），诣零根Ｎ（Ｍ）和Ｌｅｖｉｔｚｋｉ诣零根Ｌ（Ｍ），则Ｍ作为一个Γ－环（取Γ＝Ｍ）有：Ｐ（Ｍ）＝ＰΓ（Ｍ），Ｓｏｃ（Ｍ）＝ＳｏｃΓ（Ｍ），Ｎ（Ｍ）＝Ｎｒ（Ｍ）和Ｌ（Ｍ）＝ＬΓ（Ｍ）
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| 关 键 词： | 素根，底座，诣零根，Levitzki诣零根 |
On Radicals of a Ring Regarded as a Gamma Ring |
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| Chen Qinghua.On Radicals of a Ring Regarded as a Gamma Ring[J].Journal of Fujian Teachers University(Natural Science),1996(3). |
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| Authors: | Chen Qinghua |
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| Institution: | Department of Mathematics |
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| Abstract: | This paper show: if M is a ring with the prime radiCal P(M), the socle Soc(M),the nil radical N(M) and the Levitzki nil radical L(M),then regarded as a Pring with P=M,Pp(M)=P(M),Socp(M)=Soc(M),Np(M)=N(M) and LP(M)=L(M). |
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| Keywords: | prime radical socle nil radical Levitzki nil radical |
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