On power integral bases for certain pure number fields defined by $x^{18}-m$

DOI10.14712/1213-7243.2022.005OpenAlexW4293538042MaRDI QIDQ5867147

Lhoussain El Fadil

Publication date: 12 September 2022

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14712/1213-7243.2022.005

zbMATH Keywords

prime ideal factorizationtheorem of Orepower integral base

Mathematics Subject Classification ID

Other number fields (11R21) Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (4)

On monogenity of certain pure number fields defined by $$x^{{2}^{u}.3^{v}} - m$$ ⋮ On power integral bases of certain pure number fields defined by $x^{84}-m$ ⋮ Calculating generators of power integral bases in pure sextic fields ⋮ On monogenity of certain pure number fields defined by \(x^{20}-m\)

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