Normed BCI-algebras  

赋范BCI-代数(英文)

作　　者：彭家寅 

机构地区：[1]Key Laboratory of Numerical Simulation of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University

出　　处：《Chinese Quarterly Journal of Mathematics》2011年第4期543-548,共6页数学季刊（英文版）

基　　金：Supported by the Special Item of Key Laboratory of Education Bureau of Sichuan Province(2006ZD050);Supported by Natural Science Foundation of China(11071178)

摘　　要：The notions of norm and distance in BCI-algebras are introduced, and some basic properties in normed BCI-algebras are given. It is obtained that the isomorphic(homomorphic) image and inverse image of a normed BCI-algebra are still normed BCI-algebras. The relations of normaled properties between BCI-algebra and Cartesian product of BCIalgebras are investigated. The limit notion of sequence of points in normed BCI-algebras is introduced, and its related properties are investigated.

关 键 词：BCI-ALGEBRA NORM normed BCI-algebra DISTANCE LIMIT 

分 类 号：O153.3[理学—数学]