Г-环与广义Г-环的拟P根是Amitzur-Курош根

The Quasi-P-Radicals of Γ- rings and Generalized Γ-rings Are Amitzur-KypoⅢ Radicals

中文摘要:

      本文证明了Γ-环的拟p根和拟强幂零根是Amitzur-Курош根,并给出了Γ-环的拟Р根根与Р根相等的条件.最后还证明了这些结果在广义Γ-环中都能成立.

英文摘要:

      In this paper, we proved that the quasi -P- radicals and the quasi-strongly nilpotent radicals of Г-rings are Amitzur-KypoⅢ radicals, and gave some con-ditions for P- radical = quasi -P- radical . In addition, we checked that all of the-se results are valid in generalized Г-rings.