关于BCI—代数的拟自同态

On the Quasi-Endomorphisms in BCI-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 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.