On power integral bases for certain pure number fields

DOI10.5486/PMD.2022.9138zbMath1499.11316arXiv2006.11230OpenAlexW4210767967MaRDI QIDQ5036013

Lhoussain El Fadil

Publication date: 22 February 2022

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.11230

zbMATH Keywords

indexpower integral basisprime ideal factorizationtheorem of Ore

Mathematics Subject Classification ID

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

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On monogenity of certain pure number fields defined by $$x^{{2}^{u}.3^{v}} - m$$ ⋮ On common index divisors and monogenity of certain number fields defined by x⁵ + ax² + b ⋮ On power integral bases of certain pure number fields defined by $x^{3^r\cdot 7^s}-m$ ⋮ On non monogenity of certain number fields defined by trinomials \(x^6 + ax^3 + b\) ⋮ On power integral bases of certain pure number fields defined by $x^{84}-m$ ⋮ On common index divisor and monogenity of certain number fields defined by trinomials X⁶ + AX + B ⋮ On monogenity of certain pure number fields defined by \(x^{60} - m\) ⋮ On monogenity of certain pure number fields defined by \(x^{20}-m\)

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