Γ-环由元素性质确定的根(Ⅱ)  

Radicals of Γ rings determined by property of elements (Ⅱ)

作　　者：陈维新[1] 

机构地区：[1]浙江大学应用数学系

出　　处：《浙江大学学报（自然科学版）》1999年第3期247-253,共7页

基　　金：浙江省自然科学基金

摘　　要：用文献［１］所建立的理论于Γ－环论中几类重要根类的考察，成功地说明了文献［１］的理论能统一处理Γ－环中由元素的性质所确定的根论问题，从而简化了人们的工作．同时利用元素的幂等性、零化性、零因子、强正则性、λ－正则性和ｆ－正则性引进了相应的六类新根和其它一些新根．In this paper,we apply the results established by the author in to observe the well known radical classes (eg.Jacobson radical,Brown McCoy radical,Koethe radical etc.) We find out that our method simplifies considerably the process of determining whether the properties possesed by the elements of Γ rings determine some radical classes.Meanwhile,we also introduce six new radical classes by the idempotentness,annihilatness,zero divisorness,strong regularity, λ regulatity and f regularity in Γ rings,Other new radicals are obtained too.

关 键 词：Г-环 元素 P-性质 根类 幂等性 零化性 

分 类 号：O153.3[理学—数学]