一类由极大码生成的极大自由幺子半群

A class maximal free monoid generated by maximal code

设X*是由字母表X生成的自由幺半群,{B1,B2}是X的任意2-划分,C=B2∪B31∪B1(X2\B21)X。证明了C是极大码且C*是自由幺半群X*的极大自由幺子半群。

Let X＊ be the free monoid generated by an alphabet X and [ B1 ,B2 } Let be an arbitrary two-partition on X andC = B2∪ B13 ∪B1 （ X2 ／B13） X. It is discovered that C is a maximal code and C ＊ is the maximal free submonoid of the free monoid X＊.