论文标题
半群中的基本字符：理性案例
Elementary characters on semigroups: the rational case
论文作者
论文摘要
由于多项式形成了有理函数的半元组的子群，因此有理函数上的每个字符都是多项式上的字符。在另一个方向上，多项式上的每个字符并非每个字符都限制了一个字符对理性函数的限制。多项式上的字符是什么，可以扩展到有理功能？在这项工作中，我们猜想唯一可以扩展的字符是取决于程度的那些字符，通常称为基本。同样，我们在多项式而不是要素上构建了两个不能扩展到有理函数的字符示例。
Since polynomials form a subsemigroup of the semigroup of rational functions, every character on rational functions is a character on polynomials. On the other direction, not every character on polynomials is the restriction of a character on rational functions. What are the characters on polynomials that can be extended to rational functions? In this work, we conjecture that the only characters that can be extended are those that depends on the degree, often called elementary. Also, we construct two example of character on polynomials, not elementaries, that cannot be extended to rational functions.
