BCI-ALGEBRA

作品数：7被引量：2H指数：1
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相关期刊：《Journal of Applied Mathematics and Physics》《榆林学院学报》《Chinese Quarterly Journal of Mathematics》《Science Bulletin》更多>>
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Fuzzy Foldness of P-Ideals in BCI-Algebras
《Journal of Applied Mathematics and Physics》2020年第10期2129-2141,共13页Mahasin A. Ahmed 
This paper aims to introduce new notions of (fuzzy) n-fold P-ideals and (fuzzy) n-fold weak P-ideals in BCI-algebras, and investigate several properties of the foldness theory of P-ideals in BCI-algebras. Finally, we ...
关键词：BCK/BCI Algebras P-Ideals of BCI-Algebras Fuzzy P-Ideal of BCI-Algebra Fuzzypoint (Fuzzy) n-Fold P-Ideals (Fuzzy) n-Fold Weak P-Ideals 
Normed BCI-algebras被引量：1
《Chinese Quarterly Journal of Mathematics》2011年第4期543-548,共6页彭家寅 
Supported by the Special Item of Key Laboratory of Education Bureau of Sichuan Province(2006ZD050);Supported by Natural Science Foundation of China(11071178)
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-alge...
关键词：BCI-ALGEBRA NORM normed BCI-algebra DISTANCE LIMIT 
A New Branch of the Pure Algebra: BCL-Algebras
《Advances in Pure Mathematics》2011年第5期297-299,共3页Yonghong Liu 
The BCK/BCI/BCH-algebras finds general algebra system than Boolean algebras system. This paper presents a novel class of algebras of type (2, 0) called BCL-algebras. We found the BCL-algebras to be more extensive clas...
关键词：Logic ALGEBRA BCK-ALGEBRA BCI-ALGEBRA BCH-ALGEBRA BCL-Algebra 
Some Properties of a Class Self-homom orphism ofBCI-algebras
《Chinese Quarterly Journal of Mathematics》1998年第4期99-102, ,共4页袁敏英 李怡君 
Some properties about stable subset S(θ n) and image Im(θ n) of self homomorphism \{θ n:x→0*x n\} are discussed. The characterization that Im(θ n) becomes an ideal of BCI algebra X is given.
关键词：BCI    algebra self  homomorphism stable subset ideal 
Some Characterizations of Nil Ideals in BCI-algebras被引量：1
《Chinese Quarterly Journal of Mathematics》1997年第1期65-69, ,共5页黄文平 徐少贤 
Some properties of nil ideals in BCI-algebras are discussed. The notion of k-associative BCI-algebras which is a generalization of associative and quasi-associative BCI-algebras is introduced. Moreover,several charact...
关键词：BCI-ALGEBRA nil ideal k-associative BCI-ALGEBRA 
关于“on finite regular BCI-algebras”一文的注记
《榆林学院学报》1995年第3期24-26,共3页张富林 
陕西省教委科研基金资助项目
文〔1〕引入了正则BCI一代数(fegularBCI—algebra)的概念。得到了有限正则BCI一代数的若干性质。本文证明了正则BCI一代数与P一半单BCI一代数是完全一致的。从而文〔1〕的结果正是Abel群的结果,是P一半单BCI一代数的再陈述。
关键词：左(右)正则元 正则BCI—代数 P—半单BCI—代数 Abeτ群 
THE ASSOCIATIVE BCI-ALGEBRA
《Chinese Science Bulletin》1982年第11期1143-1146,共4页胡庆平 ISKI K. 
In 1966, Imai, Y. and the latter author of this paper introduced the BCK-algebra in the following Definition 1. Let X be a set with a binary operation * and a constant 0. Then X is called a BCK-algebra, if it satisfie...
关键词：ALGEBRA latter SEMIGROUP satis inverse DISTINGUISH ARBITRARY holds 主一 assoc 
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