Graded Antisimple Primitive Radical  

作　　者：Jun Chao WEI Li Bin LI Department of Mathematics, College of Science. Yangzhou University. Yangzhon 225002, P. R. China 

出　　处：《Acta Mathematica Sinica,English Series》2002年第3期505-512,共8页数学学报（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No: 19971073);the Natural Science Foundation of Jiangsu Province.

摘　　要：We introduce the graded version of the antisimple primitive radical SJ, the graded an- tisimple prinfitive radical SJ_G. We show that SJ_G=SJ_(ref)=SJ^G when |G|<∞. where SJ_(ref) denotes the reflected antisimple primitive radical and SJ^G denotes the restricted antisimple primitive radical. Furthermore, we discuss the graded supplementing radical of SJ^G.We introduce the graded version of the antisimple primitive radical SJ, the graded an- tisimple prinfitive radical SJ_G. We show that SJ_G=SJ_(ref)=SJ^G when |G|<∞. where SJ_(ref) denotes the reflected antisimple primitive radical and SJ^G denotes the restricted antisimple primitive radical. Furthermore, we discuss the graded supplementing radical of SJ^G.

关 键 词：Graded antisimple primitive radical Graded subdirectly irreducible graded primitive ring Graded supplementing radical 

分 类 号：O153.3[理学—数学]