P_1－近似环的刻划

CHARACTERIZATIONS OF P_1-NEAR RINGS

讨论了关于一个近似环Ｒ的如下条件：（Ｃ＿１）Ｒｄ＝ａＲａ对每个ａ∈Ｒ，（Ｃ＿２）ａＲ＝ａＲａ对每个ａ∈Ｒ。同时给出了满足（Ｃ＿１）和（Ｃ＿２）的近似环的分解定理。

In this paper,we study the following conditions on a near ring R:(1)Ra=aRa for each a in R. (2)aR = aRa for each a in R.and obtain a decomposition theorem for near rings with(C_1) and(C_2).