【摘要】 通过讨论李欣并代数X=X1∪LX2与它的两个子代数X1、X2之间的关系,其中X1是BCK-代数,X2是BCI-代数,得到了李欣并代数X分别是交换、正关联、关联的BCI-代数的充要条件.从而确定了所有阶n≤5的真BCI-代数按交换性、正关联和关联性的分类.更多还原

【Abstract】 The relationship between the algebra of Linxin’s union X=X\-1∪\-L X\-2 and its two subalgebras X\-1,X\-2 are discussed. The sufficient and necessary conditions for X to be commutative, positive implicative and implicative respectively are obtained. The complete classification of the proper BCI-algebras of order five according to the commutativity, positive implication and implication respectively are determined.更多还原