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  algebra semigroup
    On Boolean Group Algebra Semigroup
    关于布尔群代数半群
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    According to the known Algebra semigroup conclusions the author characterizes the sufficient and necessary conditions for the semidirect products of two semigroups to be completely simple semigroups.
    根据代数半群已有的结论,刻画了两个半群的半直积作成完全单半群的充要条件.
短句来源
  algebraic semigroups
    Let S,T be algebraic semigroups,:S→T a homomorphism, (S) =T. Unlike the case of algebraic groups,it need not be that (S)=T. We show that if T is regular and if E((S))=E(T),then (S)=T.
    假设S,T是代数半群,:S→T是一个同态,(S)=T,不同于代数群的情形,未必是(S)=T.本文将证明,如果T是正则的,并且E((S))=E(T),那么(S)=T.
短句来源
    A NOTE ON HOMOMORPHISMS OF ALGEBRAIC SEMIGROUPS
    关于代数半群同态的一点注记
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  algebraic semigroup
In this paper, based on the algebraic semigroup theory, a secret key sharing scheme is proposed, which can satisfy the demand.
      
Hancock proved that each abelian algebraic semigroup can be embedded in a divisible abelian algebraic semigroup.
      
  algebraic semigroups
Secret key sharing scheme based on the theory of algebraic semigroups
      
In this note we completely describe the structure of algebraic semigroups S with Sx=S or Sx degenerate and xS=S or xS degenerate for each x∈S.
      
The congruence extension property for algebraic semigroups
      
  algebraic semigroup
In this paper, based on the algebraic semigroup theory, a secret key sharing scheme is proposed, which can satisfy the demand.
      
Hancock proved that each abelian algebraic semigroup can be embedded in a divisible abelian algebraic semigroup.
      
  其他


In this paper we discuss the self-maps in BCI-algebra X,which satisfies f(x*y)≤f(x)*f(y),and give some propeties of such self-maps.Moreover,we give the semigroup characterizations of BCK-algebras.

讨论了BCI-代数X的满足条件f(x*y)≤f(x)*f(y)的自映射f的性质,在X的伴随半群中给出了σ满足以上条件的一些充分必要条件.最后给出了BCK-代数的半群特征和一个等价的公理体系.

In this paper,we have proved that the algebra X of Griss type would be a positive im-piicative algebra and an algebra with undition (S) if and only if X is an algebra of regular Griss type, and further given the characterization of semigroup in which a BCK-algebra would be an algebra of Griss type.

本文证明了Griss代数X作成正蕴涵且具有条件(S)的BCK一代数当且仅当X是正则的Griss代数;进一步给出了BCK一代数作成Griss代数的半群刻划.

Let S,T be algebraic semigroups,:S→T a homomorphism, (S) =T.Unlike the case of algebraic groups,it need not be that (S)=T. We show that if T is regular and if E((S))=E(T),then (S)=T.

假设S,T是代数半群,:S→T是一个同态,(S)=T,不同于代数群的情形,未必是(S)=T.本文将证明,如果T是正则的,并且E((S))=E(T),那么(S)=T.

 
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