赋范BCI-代数

数学季刊 ›› 2011, Vol. 26 ›› Issue (4): 543-548.

赋范BCI-代数

Key Laboratory of Numerical Simulation of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University

收稿日期:2009-03-22 出版日期:2011-12-30 发布日期:2023-04-14
作者简介: PENG Jia-yin(1962-), male, native of Zizhong, Sichuan, a professor of Neijiang Normal University, engages in fuzzy mathematics.
基金资助:
Supported by the Special Item of Key Laboratory of Education Bureau of Sichuan Province(2006ZD050)； Supported by Natural Science Foundation of China(11071178)；

Normed BCI-algebras

Key Laboratory of Numerical Simulation of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University

Received:2009-03-22 Online:2011-12-30 Published:2023-04-14
About author: PENG Jia-yin(1962-), male, native of Zizhong, Sichuan, a professor of Neijiang Normal University, engages in fuzzy mathematics.
Supported by:
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/Abstract

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

Abstract: 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.

Key words: BCI-algebra, norm, normed BCI-algebra, distance, limit

中图分类号:

O153

彭家寅. 赋范BCI-代数[J]. 数学季刊, 2011, 26(4): 543-548.

PENG Jia-yin. Normed BCI-algebras[J]. Chinese Quarterly Journal of Mathematics, 2011, 26(4): 543-548.

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