论Weaker Γ_N-环的诣零根  

ON THE ‘NIL’ RADICALS OF WEAKER Γ N RING

作　　者：奚欧根[1] 

机构地区：[1]宁波大学数学系

出　　处：《高校应用数学学报（A辑）》1999年第1期105-109,共5页Applied Mathematics A Journal of Chinese Universities(Ser.A)

摘　　要：本文旨在系统阐述ＷｅａｋｅｒΓＮ－环的五个诣零根．它们分别是：强诣零根ＮＳ，拟强诣零根ＮＱＳ，诣零根Ｎ，拟诣零根ＮＱ以及Ｂ－诣零根ＮＢ（Ｂａｅｒ模式诣零根）．最后还证明了五个诣零根之间的关系：ＮＳ＝ＮＱＳ＝ＮＢＮ＝ＮＱ．In the paper,the Weaker Γ N ring is defined, and it is proved that there exist five ‘nil’ radicals for Weaker Γ N ring.Those are strongly nil radical N S , quasi strongly nil radical N QS ,nil radical N ,quasi nil radical N Q and B nil radical N B (Baer module nil radical).Finally,the following relations among the five ‘nil’ radicals are obtained: N S=N QS =N B N=N Q .

关 键 词：WeakerГN环 谐零根 ГN环 强谐零根 拟强谐零根 

分 类 号：O153.3[理学—数学]