正规代数对象的半单类刻划  

Characterizations of semisimple classes of normal objects called algebras

作　　者：任艳丽[1] 王尧[1] 

机构地区：[1]鞍山师范学院数学系,辽宁鞍山114005

出　　处：《黑龙江大学自然科学学报》2002年第4期8-11,共4页Journal of Natural Science of Heilongjiang University

基　　金：辽宁省教育厅自然科学基金资助项目(993521738)

摘　　要：最近,Puczylowski E.R.用公理化方法建立了外延广泛的代数系统一代数对象类的概念,它包含了大多数已知的代数范畴,并且在特辣的代数对象类——正规代数类中,他给出了半单类的一个特征.在正规代数类中用格论方法继续给出半单类的几个新的刻划.Recently Puczylowski E. R. established the concept of the class of objects called algebras by means of axioms, which is a algebra system of much more extensive and contaions almost known algebra categories. Moreover, he gave a characterization of semisimple classes for the normal class of algebras, a special class of objects of algebras. The authors present several new descriptions of semisimple classes for normal classes of algebras in terms of lattice theory.

关 键 词：正规代数对象 格论 等价关系 半单类 公理化方法 代数系统 交换环 

分 类 号：O153.3[理学—数学]