BCK-代数根理论的若干结果

Some Results on the Radical Theory for BCK-algebras

本文讨论了BCK-代数类所确定的下根结构以及根格中诸如交根、并根等问题,证明了单遗传类与遗传类所确定的下根分别是单遗传根和遗传根。

In this paper, a discussion about the lower radicals, intersection radicals and union radicals for BCK-algebras is presented. It is proved that the lower radicals determined by simple hereditary classes and hereditay classes ars simple hereditary radieals and hereditary radicals respectively.