论文标题
多项式的功能方程
Functional equations in polynomials
论文作者
论文摘要
我们确定了至少2个度的C [x]中的所有f，g，其中F和G在组成下产生的半群并不是字母F和G的自由半群。我们还解决了x^2 C [[x]]中F，G的所有问题，并且在任意领域中证明了部分类似物。
We determine all F,G in C[X] of degree at least 2 for which the semigroup generated by F and G under composition is not the free semigroup on the letters F and G. We also solve the same problem for F,G in X^2 C[[X]], and prove partial analogues over arbitrary fields.
