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可积代数正规类中半素代数类及半素一致代数类确定的上根
引用本文:杨宗文,杨柱元,李友宝.可积代数正规类中半素代数类及半素一致代数类确定的上根[J].数学理论与应用,2008,28(4):71-75.
作者姓名:杨宗文  杨柱元  李友宝
作者单位:[1]云南大学数学系,昆明650091 [2]云南民族大学数学与计算机科学学院,昆明650031
摘    要:利用代数正规类中的理想乘积公理,引入可积代数正规类及可积代数正规类中素代数、半素代数类及一致代数类概念,讨论了可积代数正规类中半素代数类及半素一致代数类确定的上根性质。

关 键 词:可积代数正规类  理想乘积  素代数  半素代数  一致代数

The Upper Radicals Determined by the Class of All Semiprime Algebras and the Class of All Semiprime Uniform Algebras in the Normal Classes of Product Algebras
Yang Zongwen Yang Zhuyuan Li Youbao.The Upper Radicals Determined by the Class of All Semiprime Algebras and the Class of All Semiprime Uniform Algebras in the Normal Classes of Product Algebras[J].Mathematical Theory and Applications,2008,28(4):71-75.
Authors:Yang Zongwen Yang Zhuyuan Li Youbao
Institution:Yang Zongwen1 Yang Zhuyuan2 Li Youbao1(1.Department of Mathematics,Yunnan University,Kunming,650091)(2.School of Mathematics , Computer Science,Yunnan Nationalities University,650031)
Abstract:By means of given the ideals product axioms of the normal classes of general algebras,the consepts of the normal classes of puoduct algebras,and the prime algebras,semiprime algebras and uniform algebras in the normal classes of product algebras are given.Then the upper radicals determined by the class of all semiprime algebras and the class of all semiprime uniform algebras in the normal classes of product algebras are discussed.
Keywords:The normal classes of product algebras Ideals product Prime algebras Semiprime algebras Uniform algebras  
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