A note on non-monogenity of number fields arised from sextic trinomials

DOI10.2989/16073606.2022.2043948OpenAlexW4221010395MaRDI QIDQ6110356

Anuj Jakhar, Sumandeep Kaur

Publication date: 5 July 2023

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2022.2043948

zbMATH Keywords

monogenityprime ideal factorizationtheorem of Ore

Mathematics Subject Classification ID

Other number fields (11R21) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (2)

On non-monogenity of the number fields defined by certain quadrinomials ⋮ On index divisors and non-monogenity of certain quintic number fields defined by x⁵ + ax^m + bx + c

Cites Work

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• Integral bases and monogenity of pure fields
• On prolongations of valuations via Newton polygons and liftings of polynomials
• On certain pure sextic fields related to a problem of Hasse
• Power integral bases for certain pure sextic fields
• Factorization over local fields and the irreducibility of generalized difference polynomials
• On nonmonogenic number fields defined by

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