奚欧根.Г-环与广义Г-环的拟P根是Amitzur-Курош根[J].数学研究及应用,1991,11(1):13~16 |
Г-环与广义Г-环的拟P根是Amitzur-Курош根 |
The Quasi-P-Radicals of Γ- rings and Generalized Γ-rings Are Amitzur-KypoⅢ Radicals |
投稿时间:1989-03-08 |
DOI:10.3770/j.issn:1000-341X.1991.01.003 |
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英文关键词: |
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中文摘要: |
本文证明了Γ-环的拟p根和拟强幂零根是Amitzur-Курош根,并给出了Γ-环的拟Р根根与Р根相等的条件.最后还证明了这些结果在广义Γ-环中都能成立. |
英文摘要: |
In this paper, we proved that the quasi -P- radicals and the quasi-strongly nilpotent radicals of Г-rings are Amitzur-KypoⅢ radicals, and gave some con-ditions for P- radical = quasi -P- radical . In addition, we checked that all of the-se results are valid in generalized Г-rings. |
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