| 奚欧根,奚李峰.次弱ГN—环对有限生成强诣零根的差环[J].数学研究及应用,1993,13(2):289~291 |
| 次弱ГN—环对有限生成强诣零根的差环 |
| The Difference Ring of the Subweak ГN-Ring Relative to Finitely Generated Strong Nil Radical |
| 投稿时间：1991-01-24 修订日期：1992-11-17 |
| DOI：10.3770/j.issn:1000-341X.1993.02.026 |
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| 摘要点击次数: 2121 |
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| 中文摘要: |
| 本文定义了次弱ГN-环,证明了若次弱ГN一环M的强诣零根N是有限生成的,则M/N一定是强诣零半单的.并且.如果M存在强幂零根I,则N=I. |
| 英文摘要: |
| In this paper, the subweak ГN-ring is defined, and it is proved that suppoe the strong nil radical N is finitely generative, then M/N is certainly strong nil semi-simple. Finally, if M has strong nilpotent radical I, then the finitely generated strong nil radical N coincide with I. |
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