代数正规类中的遗传根与强半单根(英文)

Hereditary Radicals and Strongly Semisimple Radicals in Normal Classes of Algebras

中文关键词:  代数  正规类  格  遗传根  强半单根

英文关键词:algebra  normal class  lattice  hereditary radical  strongly semisimple radical.

中文摘要:

      Puczylowski建立了一般代数对象类的根理论.本文在代数正规类中,用格论方法刻划一般遗传根和强半单根类,探究它们的一些性质,推广了已知各类代数系统的某些根论研究.

英文摘要:

      Puczylowski established the general theory of radicals of the class of objects called algebras. In this paper, we make use of the method of lattice theory to characterize the general hereditary radicals and general strongly semisimple radicals and investigate some properties of them in normal classes of algebras. This extends some known studies on the theory of radicals of various algebraic strutures.