正规代数对象的半单闭包之构造  

The Construction of Semisimple Closure of Normal Objects Calle d Algebras

作　　者：王尧[1] 艾益民[2] 

机构地区：[1]鞍山师范学院数学系,辽宁鞍山114005 [2]鞍山钢铁学院高等职技术学院,辽宁鞍山114002

出　　处：《鞍山师范学院学报》2002年第1期5-8,共4页Journal of Anshan Normal University

基　　金：辽宁省教委自然科学基金资助项目编号 :99352 1738.

摘　　要：最近 ,E .R .Puczylowski用公理化方法建立了外延广泛的代数系统———代数对象类的概念 ,它包含了大多数已知的代数范畴 .并且 ,在特殊的代数对象类———正规代数类中 ,他给出了半单类的一个特征 .Recently E.R.Puczylowski established the conc ept of the class of objects called algebras by means of axioms,which is a algebra system of much more extensive and contains almost known algebra categories.Moreover,he given a characterization of semisimple classes for the normal class of algebras,a special class of objects of algebras.The purpose of this note is to present the construction of semisimple closure in the classes of normal objects called algebras.

关 键 词：代数 格 等价关系 半单类 半单闭包 公理化方法 正规代数类 

分 类 号：O15[理学—数学]