论文标题
关于重复的自由基的程度
On the degree of repeated radical extensions
论文作者
论文摘要
我们回答了莫德尔（Mordell）在1953年提出的一个问题，在这种情况下，在重复进行根本性扩展时，找到了$ [f [f [\ sqrt [m_1] {n_1] {n_1}，\ dots，\ sqrt [m_ \ ell] {n_ \ ell] {n_ \ ell}] {n_ \ ell}] = m_1 \ cdots m__1 \ cdots m_1 priention us，任何$ m_i $。
We answer a question posed by Mordell in 1953, in the case repeated radical extensions, and find necessary and sufficient conditions for $[F[\sqrt[m_1]{N_1},\dots,\sqrt[m_\ell]{N_\ell}]:F]=m_1\cdots m_\ell$, where $F$ is an arbitrary field of characteristic not dividing any $m_i$.
