In the category of general monoid graded rings, we propose a new graded radical, i.e. the graded P radical, obtain the structure theorem of corresponding semisimple graded rings, show that it is a graded special ...In the category of general monoid graded rings, we propose a new graded radical, i.e. the graded P radical, obtain the structure theorem of corresponding semisimple graded rings, show that it is a graded special radical and present the graded module characterization of it. Moreover, we investigate the relations between it and reflect P radical.展开更多
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
文摘In the category of general monoid graded rings, we propose a new graded radical, i.e. the graded P radical, obtain the structure theorem of corresponding semisimple graded rings, show that it is a graded special radical and present the graded module characterization of it. Moreover, we investigate the relations between it and reflect P radical.
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.
