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
中文关键词:  
英文关键词:
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作者单位
奚欧根 宁波大学数学系 
奚李峰 浙江大学数学系 
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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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