Anuj Jakhar, Sudesh K. Khanduja, Neeraj Sangwan
Abstract
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Let $K=\mathbb {Q}(\sqrt [n]{a})$ be an extension of degree $n$ of the field $\mathbb Q $ of rational numbers, where the integer $a$ is such that for each prime $p$ dividing $n$ either $p\nmid a$ or the highest power of $p$ dividing $a$ is coprime to $p$;
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Let $K=\mathbb {Q}(\sqrt [n]{a})$ be an extension of degree $n$ of the field $\mathbb Q $ of rational numbers, where the integer $a$ is such that for each prime $p$ dividing $n$ either $p\nmid a$ or the highest power of $p$ dividing $a$ is coprime to $p$;
Key concepts: Coprime integers, Discriminant, Mathematics, Square-free integer, Prime power, Integer (computer science), Prime (order theory), Degree (music)