Г—环上全矩阵Г—环的Jacobson根

The Jacobson Radicala of Full Matrix Г-ring on AГ-ring

讨论Г—环R上的全矩阵Г—环R_n的Jacobson根J(R_n)。证明了Г—环R上的全矩阵Г—环R_n的Jacobson根J(R_n)是R的Jacobson根J(R)上的全矩阵Г—环(J(R))_n。

The paper deals with Jacobson ridical J(Rn) of full matrix Γ--ring Rn on Γ--ring R, proving that ja-cobson radical J (Rn) of ful1 matrix Γ--ring Rn on Γ--ring R is full matrix Γ--ring (J (R) )n on R's Jacob-son radical J(R).