BCK-代数的扩张

The Extensions of BCK-algebras

讨论了BCK-代数的极大元扩张的同构问题,引进了有限BCK-代数的一种新的扩张方法—保型扩张,小原子扩张只是保型扩张的特殊情况.给出了扩张后的代数与原代数之间的保型性质,并且讨论了新代数的一些有关理想的性质.

In this paper, the author studys firstly the question of isomorphic between X^（a） and X^（b） , where a, b ∈ X.Then introduces a new method of extension, invarint extension of BCK-algebras, in which the original algebra is not an ideal of the new algebra, except X =0. And, the author studys the properties of this new extension.