关于值域上的中值定理
On the Intermediate Value Theorem over a Valued Field
摘要:
证明了具有可分赋值群和无限剩余域的值域上多项式和幂级数的中值定理。一些进一步的结果的行为的估值得到使用Hensel引理。
英文摘要:
The paper proves the intermediate value theorem for polynomials and power series over a valued field with divisible valuation group and infinite residue field. Some further results on the behaviour of the valuation are obtained using Hensel's Lemma.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。