On monogenity of certain number fields defined by \(x^8+ax+b\)

DOI10.1007/s10474-022-01206-5OpenAlexW4210985478MaRDI QIDQ2151123

Hamid Ben Yakkou

Publication date: 30 June 2022

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-022-01206-5

zbMATH Keywords

power integral basiscommon 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 (4)

On index divisors and monogenity of certain septic number fields defined by x⁷ + ax³ + b ⋮ 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 non-monogenity of certain quintic number fields defined by x⁵ + ax^m + bx + c

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