On non monogenity of certain number fields defined by trinomials \(x^6 + ax^3 + b\)

DOI10.1016/j.jnt.2021.10.017zbMath1494.11084OpenAlexW4207083635WikidataQ114156659 ScholiaQ114156659MaRDI QIDQ2672018

Lhoussain El Fadil

Publication date: 8 June 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2021.10.017

zbMATH Keywords

power integral basescommon index divisorprime ideal factorizationtheorem of Ore

Mathematics Subject Classification ID

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

Related Items (9)

On index divisors and monogenity of certain septic number fields defined by x⁷ + ax³ + b ⋮ On non-monogenity of the number fields defined by certain quadrinomials ⋮ Non-monogenity of certain octic number fields defined by trinomials ⋮ On the index divisors and monogenity of number fields defined by x ⁵ + ax ³ + b ⋮ On nonmonogenic number fields defined by trinomials of type \(x^n +ax^m+b\) ⋮ On index divisors and monogenity of certain number fields defined by \(x^{12}+ax^m+b\) ⋮ On nonmonogenic algebraic number fields ⋮ On index and monogenity of certain number fields defined by trinomials ⋮ Common index divisor of the number fields defined by

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