代数对象的根与半单类(英文)

Radicals and Semisimple Classes of the Class of Algebras

最近 ,Puczylowski在由公理系统构建的代数对象类中建立了一般根论 .本文的目的是用格论的方法给出根和半单类的刻划 。

Recently Puczylowski established the general theory of radicals in the classes of objects called algebras constructed by axiom system.It is the purpose of this paper to give several characterizations of radical and semisimple classes and to investigate the conditions that sX to be semisimple class for the classes of objects of much more extensive in terms of Lattic theory.