摘要
引入下(上)根元、极大渗透、极大序理想等概念,讨论了极大渗透、极大序理想的结构。证明了BCI-代数是互不相交的极大渗透的并,处于不同极大渗透中的序链互不相交。
In this paper, the concepts of lower (super) root element, maximal filter and maximal ideal in BCI-algebras are introduced and their structures are discussed. The following result is obtained: If M is a BCI-algebra, then M is the union of all maximal filters and the chains in different maximal filters cannot intersect.
出处
《西北师范大学学报（自然科学版）》
CAS
1991年第3期10-15,共6页
Journal of Northwest Normal University(Natural Science)
关键词
极大渗透
极大序理想
BCI-代数
lower (super) root element
maximal filter
maximal order idea
