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bci代数     
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  bci-algebra
     The Structure of Nil-radical in BCI-algebra
     关于BCI-代数诣零根的结构
短句来源
     In this paper, we think that member σ in adjoint semigroup of BCI - algebra X is the condition of self - homomophism of X, and we obtain some self - homomophisms of m - positive implicative BCI - algebra and general positive implicative BCI - algebra.
     给出了BCI-代数X的伴随半群中任一元素σ是X的自同态的充要条件,并得到了m-正蕴涵BCI-代数和广义正蕴涵BCI-代数的一些自同态.
短句来源
     This Paper introduces the concept of fixed point in a BCI-algebra, show that the proper BCI-algebras, which have fixed POint, are equivalent to one Point extension.
     在BCI-代数中引进不动点的概念,对含有不动点的BCI-代数进行刻划,证明了具有不动点的真BCI-代数等价子BCK-代数的一点扩张;
短句来源
     Xi. Wegive a characterization of it:a BCI algebra X is quasiassociative if and only if L(X) is anassociative subalgebra of X. It is also established that the union of a BCK algebra and anassociative BCI-algebra is quasiassociative.
     C.C.XI引入了拟结合BCI-代数的概念,本文给了出了它的一个特征:BCI-代数X是拟结合的当且仅当L(x)是它的一个结合子代数,得到了:一个BCK-代数与一个结合BCI-代数的并是拟结合的.
短句来源
     The concept cokernel of BCI-algebra by using the universal Property of homomorphism is introduced and several interesting results are obtained.
     定义了BCI-代数上核的概念,并得到了上核的几个结论。
短句来源
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  bci-algebras
     Some Properties of Branches of BCI-Algebras
     BCI-代数枝的某些性质
短句来源
     Order of elements in BCI-algebras
     BCI-代数中元素的阶数
短句来源
     On Orbits in BCI-algebras
     关于BCI-代数中元素的轨道
短句来源
     BRANCHES OF STRONGLY IMPLICATIVE IDEALS IN BCI-ALGEBRAS
     BCI-代数强关联理想的分支
短句来源
     Thus we obtain a lot of (infinite)simple BCI-algebras.
     这样得到了一批(无限多个)单BCI-代数
短句来源
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  bci algebra
     Some characterizations for the p semisimple part SP(X ) become an ideal of a BCI algebra X are given.
     给出了BCI-代数X的p-半单部分SP(X)作成理想的几个充要条件.即SP(X)是X的理想当且仅当如下条件之一成立:a∈SP(X),右乘映射ar是单射;
短句来源
     A BCI algebra X is saidd to be a simple point Union of X + and X p,if X=X +∪X p,where X + is the BCK part and X p is the ρ semisimple part of X.
     在BCI-代数X中,若无既不在X+中又不在X+中的奇异元,则称X是X+与Xp的单点并,记为X=X+∨Xp。
短句来源
     Finally, if M(X) is a residuled semigroup, then every BCI algebra X=P(X)∨SP(X) can be imbedded in a BCI algebras X *=P(X *)∨SP(X *) and X is a subalgebra of X *.
     M(X)是剩余半群的充要条件为M(P(X))是剩余半群.当M(X)是剩余半群时,每一个BCI-代数X=P(X)∨SP(X)均可嵌入到一个BCI-代数X*=P(X*)∨SP(X*)中,且X是X*的子代数
短句来源
     Xi. Wegive a characterization of it:a BCI algebra X is quasiassociative if and only if L(X) is anassociative subalgebra of X. It is also established that the union of a BCK algebra and anassociative BCI-algebra is quasiassociative.
     C.C.XI引入了拟结合BCI-代数的概念,本文给了出了它的一个特征:BCI-代数X是拟结合的当且仅当L(x)是它的一个结合子代数,得到了:一个BCK-代数与一个结合BCI-代数的并是拟结合的.
短句来源
     The properties of self homomorphism and anti self homomorphism on BCI algebra are discussed. The characterization of self homomorphism in M(X) is given as follow: σ∈HM if and only if σ 2=σ . Moreover, it is proved that AMHM and if AM≠ , then X=N 2(X) .
     讨论了BCI-代数X的自同态与反自同态的性质.给出了X的伴随半群M(X)中自同态的刻画,即σ为M(X)中的自同态当且仅当σ为幂等元.证明了伴随半群中的反自同态一定是自同态,并指出若M(X)中存在反自同态,则X=N2(X).
短句来源
  bci algebras
     Some properties of p semisimple part in BCI algebras
     BCI-代数p-半单部分的若干性质
短句来源
     BCI algebras X +∨X p and its adjoint semigroup
     BCI-代数X+∨X_p和它的伴随半群
短句来源
     Finally, if M(X) is a residuled semigroup, then every BCI algebra X=P(X)∨SP(X) can be imbedded in a BCI algebras X *=P(X *)∨SP(X *) and X is a subalgebra of X *.
     M(X)是剩余半群的充要条件为M(P(X))是剩余半群.当M(X)是剩余半群时,每一个BCI-代数X=P(X)∨SP(X)均可嵌入到一个BCI-代数X*=P(X*)∨SP(X*)中,且X是X*的子代数
短句来源
     Characterizations of p semisimple part in nil BCI algebras
     诣零BCI-代数p-半单部分的特征
短句来源
     Stabilizers of right multiplicative maps in BCI algebras
     关于BCI-代数中右乘映射的稳定子
短句来源

 

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  bci-algebra
We show that a non-empty subset of a BCI-algebra is a-ideal if and only if it is both q-ideal and p-ideal.
      
In this note, we first solve the following open problem in [5]: Can the variety of commutative BCI-algebras be defined by two identities? An algebra of type (2, 0) is a commutative BCI-algebra if and only if it satisfies and (see Theorem 2 below).
      
We prove that there exists a maximal ideal of a BCI-algebra X in which each subalgebra is an ideal.
      
-semisimple closed ideals of a BCI-algebra to subgroups of its adjoint monoid.
      
In this paper, we investigate further the BCI-G part of a BCI-algebra and give a characterization of quasi-associative BCI-algebras in which every subalgebra is an ideal.
      
  bci-algebras
Computational methods for study of foldness of H-ideals in BCI-algebras
      
We study the notion of n-folds H-ideals in BCI-algebras as a natural generalization of H-ideals in BCI-algebras.
      
Finally, we establish some algorithms for study of foldness theory of H-ideals in BCI-algebras.
      
In this note, a negative answer to the open problem of Jun, Shim and Lele on fuzzy filters of BCI-algebras is given, a necessary and sufficient condition, under which the open problem has a positive answer, is provided.
      
Furthermore, we give two properties of fuzzy filters of BCI-algebras which generalize some results of Jun, Shim and Lele.
      
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