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 ...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.展开更多
By considering the Galois action and the group action,we give the relation of two isomorphism character rings on the arbitrary field K with CharK = 0.Our results generalize Saksonov's theorem.
基金Project supported by the National Natural Science Foundation of China (No: 19971073)the Natural Science Foundation of Jiangsu Province.
文摘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.
文摘By considering the Galois action and the group action,we give the relation of two isomorphism character rings on the arbitrary field K with CharK = 0.Our results generalize Saksonov's theorem.
