BCI-代数的滤子  

Filters of BCI-algebras

作　　者：杨闻起[1] 

机构地区：[1]宝鸡文理学院数学系,陕西宝鸡721013

出　　处：《安徽大学学报（自然科学版）》2013年第2期15-18,共4页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60805016);陕西省自然科学基金资助项目(2010JM1016)

摘　　要：引入了BCI-代数的滤子的概念,讨论了滤子的性质,得到了它与BCK-部分和极小元的分支的关系,还给出了滤子、理想和子代数之间的关系,说明了结合和p-半单BCI-代数中滤子的特性,BCI-代数的滤子与理想具有同等重要的意义.The concept of filters of BCI-algebras was introduced in this paper,some properties of the filters were discussed and the relationship between the filters,BCK-parts and branch of minimal element were obtained.The relationship between filters and ideals and subalgebras were given.Some characteristics of the filters on association and p-semisimple BCI-algebras were explanined,thus the significance of the filters and ideal of BCI-algebras was equally important.

关 键 词：BCI-代数 理想 子代数 滤子 

分 类 号：O153.1[理学—数学]