摘要
本文引进了一般BCI-代数的正规理想的概念,主要讨论了由正规理想决定的等价类的性质。特别地,我们证明了对于正规理想,类似于有限群论中的Lagrange定理成立。此外,我们还讨论了正规理想同其它一些特殊理想之间的关系。
IN this paper,we have introduced the notion of the normal ideals of a general BCI-alagebra,discussed some properties of the equivalence classes determined by a normal ideal. In particular,we have proved the Lagrange theorm of finite BCI-algebras similar to that of finite groups. Moreover,we have studied the relation between the normal idedal andthe other special ideal.
出处
《黄冈师范学院学报》
1992年第3期5-8,共4页
Journal of Huanggang Normal University
关键词
BCI-代数
正规理想
结合理想
等价类
BCI-algebras
normal ideals
associative ideals
equivalence classe
