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...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.展开更多
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 ...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 construct a computer-program for studying the foldness theory of P-ideals in BCI-algebras.展开更多
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...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 characterizations of k-associative BCI-algebras are given.展开更多
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)
文摘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.
文摘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 construct a computer-program for studying the foldness theory of P-ideals in BCI-algebras.
文摘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 characterizations of k-associative BCI-algebras are given.
