Normed BCI-algebras

Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (4): 543-548.

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)；

Abstract

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

CLC Number:

O153

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

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Normed BCI-algebras

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