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作 者:彭家寅
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.
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