Γ-环的P-根,弱P-根与拟P-根(英文)

The PRadicals, Weakly PRadicals and QuasiPRadicals of Γrings

本文在Γ－环中定义Ｐ－根、弱Ｐ－根与拟Ｐ－根的概念，讨论它们的性质及相互间的关系，给出了弱Ｐ－根的构造，证明了对Γ－环的任何代数性质Ｐ，总可以确定二个Ａｍｉｔｓｕｒ－Ｋｕｒｏｓｈ根．同时，对Γ－环的几个具体根的研究做了统一，拓广了Γ－环根理论的研究领域．

In this paper, the notions of Pradicals, Weakly Pradicals and QuasiPradicals of Γring was introduced, the relationship among these radicals was discussed, and the construction of Weakly Pradicals was given. Two kinds of AmitsurKurosh radicals were determined for an arbitrary property of Γrings, several concrete radicals were unified, and the researching field of radicals theory of Γrings were extended.