首页 | 本学科首页   官方微博 | 高级检索  
     检索      

由环的幂零性所确定的根
引用本文:王尧,杨军.由环的幂零性所确定的根[J].纯粹数学与应用数学,1997,13(2):88-93.
作者姓名:王尧  杨军
作者单位:[1]鞍山师范学院数学系 [2]临沂师专数学系
摘    要:结合环中的环的幂零性不是根性质。为此,本文将结合环中的幂零理想概念扩展为次拟幂零理想和拟幂零理想,定义次拟幂零根SN和拟幂零根QN,证明它们均为Amitsur-Kurosh根,且二者相等,进一步,我们给出了QN-半单环的构造命题和QN-根的模刻划。

关 键 词:      幂零性  N根  SN根

THE RADICALS DETERMINED BY NILPOTENCY OF RINGS
Wang Yao.THE RADICALS DETERMINED BY NILPOTENCY OF RINGS[J].Pure and Applied Mathematics,1997,13(2):88-93.
Authors:Wang Yao
Abstract:In this paper, the concepts of subquasi nilpotent ideal and Quasi nilpotent ideal as extention of the notion of nilpotent ideal are introduced in the class of associative rings, the definitions of subquasi nilpotent radical and Quasi nilpotent radical are given and they are proved being Amitsur Kurosh radical and being equal. Moreover, the structure theorem of semisimple ring and module characterization for Quqsi nilpotent radical are represented respectively.
Keywords:nilpotent  Quasi  nilpotent  radical  module
本文献已被 CNKI 维普 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号