Graded antisimple primitive radical

摘要

We introduce the graded version of the antisimple primitive radical SJ, the graded an- tisimple primitive 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.