由环的P性质所确定的根  

The Radical Determined by P Property of Rings

作　　者：王尧[1] 杨军[2] 

机构地区：[1]鞍山师范学院数学系,鞍山114005 [2]临沂师范学院数学系,临沂276005

出　　处：《数学研究》1999年第3期305-309,共5页Journal of Mathematical Study

基　　金：辽宁省教委科研基金

摘　　要：定义了环的Ｐ根Ｐ、弱拟Ｐ根Ｐｗ 和拟Ｐ根ＰＱ，证明它们均为Ａｍ ｉｔｓｕｒＫｕｒｏｓｈ 根且Ｐ＝ Ｐｗ 为特殊根。The P Radical P, Weakly P Radical P w and Quasi P Radical P w are defined. It is Proved that they are all Amitsur Kurosh radical and P=P w which is a special radical. The structure theorem of P semisimple rings and the module characterization of P radical are Presented.

关 键 词：P-性质 P-根 弱拟P-根 拟P-振 Amitaur-Kurosh根 P-环 诣零性 

分 类 号：O153.3[理学—数学]