分次广义Γ-环的Brown-McCoy根  

The Brown-McCoy Radicals of the Graded Generalized Γ-rings

作　　者：侯波[1] 张子龙[1] 徐爱华[1] 

机构地区：[1]河北师范大学数学与信息科学学院,河北石家庄050016

出　　处：《数学的实践与认识》2006年第4期218-221,共4页Mathematics in Practice and Theory

基　　金：河北省自然科学基金(102132)

摘　　要：研究了分次广义Γ-环的弱强分次B row n-M cC oy根与拟弱强分次B row n-M cC oy根,并从不同角度刻划了分次广义Γ-环的弱强分次B row n-M cC oy根.证明了任何一个分次广义Γ-环都有弱强分次B row n-M cC oy根和拟弱强分次B row n-M cC oy根,而且弱强分次B row n-M cC oy根小于等于拟弱强分次B row n-M c-C oy根.In this paper, we define and study the concept of the weakly strong graded Brown- McCoy radical and the quasi-weakly strong graded Brown-McCoy radical in the graded generalized Г-ring. Let R be any graded generalized Г-ring, it must have a weakly strong graded Brown-McCoy radical and a quasi-weakly strong graded Brown-McCoy radical which is less than or equal to the strong graded Brown-McCoy radical.

关 键 词：分次广义Г-环 弱强Brown-McCoy根 拟弱强Brown-McCoy根 

分 类 号：O153.3[理学—数学]