6阶真BCI-代数的分类

Complete classification of proper BCI-algebras with order 6

根据李欣并代数是交换、正关联、关联BCI-代数的充分必要条件和5阶BCI-代数按交换性、正关联性和关联性的完全分类结果,辅以一些计算,得到了6阶真BCI-代数按交换性、正关联性和关联性的完全分类结果。在6阶真BCI-代数中,共有21个交换BCI-代数,4个正关联BCI-代数和4个关联BCI-代数。

The complete classification of proper BCI-algebras with order 6 is provided according to the commutative, positive implicative and implicative properties. There are 21 commutative BCI-algebras, 4 positive implicative BCI-algebras and 4 implicative BCI-algebras in the set of proper BCI-algebras with order 6.