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bci代数     
相关语句
  bci-algebra
     But quasi-associated BCH-algebra is not BCI-algebra.
     但拟结合的BCH 代数未必是BCI 代数.
短句来源
     An Addition for k Positive Implicative BCI-Algebra
     关于BCI代数是K-正蕴涵的若干充要条件
短句来源
     The paper introduces some new BCY algebras and studies the equivalence class (relative to "=") of several BCY algebras and proves that the set of the equivalence class forms respectively a BCI-algebra, a BCK-algebra or a commutative BCK-algcbta.
     在“减法系统Ⅰ”基础上,引入其它一些BCY代数并研究某些BGY代数的等价类(关于“=”),并证明了等价类的集合分别形成BCI代数、BCK代数或可换BCK代数。
短句来源
     This paper introduces the notion of sub-commutative ideals in BCI-algebras and investigates its some properties,and characterizes quotient commutative BCI-algebra by it.
     引入了BCI 代数的Fuzzy亚交换理想的概念 ,探讨了它的基本性质 ,并用以刻画商交换BCI 代数 .
短句来源
     The concepts of associated ideal, p-semisimple ideal and quasi-associated ideal in BCH-algebra are introduced. Moreover, the follow results is proved:Let (X;*,0) be a BCH-algebra, if the zero ideal is associated ideal (or p-semisimple ideal) in X, then X is associated (or p-semisimple) BCI-algebra.
     在BCH 代数中引入结合理想、p 半单理想、拟结合理想等概念,并证明了一个BCH 代数,如果它的零理想是结合理想(或p 理想),则它一定是结合(或p 半单)BCI 代数.
短句来源
更多       
  bci algebra
     It is shown that a nonempty subset of a BCI algebra is a BCI implicative ideal if and only if it is both a BCI commutative ideal and a BCI positive implicative ideal. This generalizes the famous result in BCK algebras: a nonempty subset of a BCK algebra is an implicative ideal if and only if it is both a commutative ideal and a positive implicative ideal.
     证明了BCI代数的一个非空子集是BCI关联理想当且仅当它既是BCI交换理想又是BCI正定关联理想,从而揭示了这三类理想之间的内在联系,并将BCK代数中知名论断:BCK代数的一个非空子集是关联理想当且仅当它既是交换理想又是正定关联理想,推广到BCI代数上去。
短句来源
     We say X to be a BCI algebra with the proprty of discrete subalgebra if L(X) is a subalgebra of X. An Equivalent proposition of BCI algebra with the property of discrete subalgebra was obtained. We showed that X is a generalization associative BCI algebra or BCK algebra if L(X) is an ideal of ed algebra X.
     本文给出具有散子代数的BCI代数的条件,讨论了L(X)为X的理想的BCI代数,完全刻划了每个子代数都是理想的BCI代数
短句来源
     It was proved that a BCK algebra can produce a true BCI algebra from “a point extend”,and can keep (i,j;m,n) type simulate commutative property.
     证明了BCK 代数通过“一点扩张”可生成真BCI 代数 ,(i,j;m ,n)型拟可换BCK 代数通过“一点扩张”可生成真BCI 代数并保持同型拟可换性 .
短句来源
  bci-algebra
     But quasi-associated BCH-algebra is not BCI-algebra.
     但拟结合的BCH 代数未必是BCI 代数.
短句来源
     An Addition for k Positive Implicative BCI-Algebra
     关于BCI代数是K-正蕴涵的若干充要条件
短句来源
     The paper introduces some new BCY algebras and studies the equivalence class (relative to "=") of several BCY algebras and proves that the set of the equivalence class forms respectively a BCI-algebra, a BCK-algebra or a commutative BCK-algcbta.
     在“减法系统Ⅰ”基础上,引入其它一些BCY代数并研究某些BGY代数的等价类(关于“=”),并证明了等价类的集合分别形成BCI代数、BCK代数或可换BCK代数。
短句来源
     This paper introduces the notion of sub-commutative ideals in BCI-algebras and investigates its some properties,and characterizes quotient commutative BCI-algebra by it.
     引入了BCI 代数的Fuzzy亚交换理想的概念 ,探讨了它的基本性质 ,并用以刻画商交换BCI 代数 .
短句来源
     The concepts of associated ideal, p-semisimple ideal and quasi-associated ideal in BCH-algebra are introduced. Moreover, the follow results is proved:Let (X;*,0) be a BCH-algebra, if the zero ideal is associated ideal (or p-semisimple ideal) in X, then X is associated (or p-semisimple) BCI-algebra.
     在BCH 代数中引入结合理想、p 半单理想、拟结合理想等概念,并证明了一个BCH 代数,如果它的零理想是结合理想(或p 理想),则它一定是结合(或p 半单)BCI 代数.
短句来源
更多       
  bch-algebra
     But quasi-associated BCH-algebra is not BCI-algebra.
     但拟结合的BCH 代数未必是BCI 代数.
短句来源
     The concepts of associated ideal, p-semisimple ideal and quasi-associated ideal in BCH-algebra are introduced. Moreover, the follow results is proved:Let (X;*,0) be a BCH-algebra, if the zero ideal is associated ideal (or p-semisimple ideal) in X, then X is associated (or p-semisimple) BCI-algebra.
     在BCH 代数中引入结合理想、p 半单理想、拟结合理想等概念,并证明了一个BCH 代数,如果它的零理想是结合理想(或p 理想),则它一定是结合(或p 半单)BCI 代数.
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-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.
      
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