Baer radical and Levitzki radical for additive categories are introduced and some theorems on additive categories are proved, which are the analogue of corresponding structure theorems for rings.

• 在本文中我们定义加法范畴的Baer根和Levitzki根；并给出相应的结构定理；得到与通常环论中相应结果完全平行的命题.