The monogeneity of radical extensions
Hanson Smith
Abstract
Let $L$ be a number field. We give necessary and sufficient conditions for a radical extension $L(\!\sqrt [n]{\alpha })$ to be monogenic over $L$ with $\sqrt [n]{\alpha }$ as a generator, i.e., for $\sqrt [n]{\alpha }$ to generate a power $\mathcal {O}_L$
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