正规代数对象的半单类刻划

Characterizations of semisimple classes of normal objects called algebras

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.