次弱Г_N—环对有限生成强诣零根的差环  

The Difference Ring of the Subweak Γ_n-Ring Relative to Finitely Generated Strong Nil Radical

作　　者：奚欧根[1] 奚李峰[2] 

机构地区：[1]宁波大学数学系,315020 [2]浙江大学数学系,杭州310027

出　　处：《Journal of Mathematical Research and Exposition》1993年第2期289-291,共3页数学研究与评论（英文版）

摘　　要：本文定义了次弱Γ_N-环,证明了若次弱Γ_N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。In this paper, the subweak ΓN-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 /, then the finitely generated strong nil radical N coincide with I.

关 键 词：次弱 ΓN环 强诣零根 差环 P环 

分 类 号：O153.3[理学—数学]