摘要
本文讨论了单BCI-代数.证明了一个BCI-代数是单的当且仅当它的子代数都是单的;给出了单p-半单BCI-代数的一种表示式;证明了一个p-半单BCI-代数是单的当且仅当它的阶是素数;这样得到了一批(无限多个)单BCI-代数;证明了商BCK-代数X/A是单的当且仅当A是X的极大理想.
In ths paper,we study the structure of simple BCI-atgebras. We show that a BCI-algebra is simple if and only if its subalgebras are all simple. We give an expression of the structure of simple p-semisimple BCI-algebras. We show that a p-semisimple BCI-algebra is simple if and only if its order is prime. Thus we obtain a lot of (infinite)simple BCI-algebras. We show that quotient BCK-algebra X/A is simple if and only if A is maximal ideal of X.
出处
《数学研究》
CSCD
1995年第1期94-99,共6页
Journal of Mathematical Study