Non-monogenity of certain octic number fields defined by trinomials

DOI10.4064/cm8799-3-2022OpenAlexW4288471745MaRDI QIDQ5053818

Sumandeep Kaur, Anuj Jakhar, Surender Kumar

Publication date: 28 November 2022

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm8799-3-2022

zbMATH Keywords

trinomialsmonogenityoctic fields

Mathematics Subject Classification ID

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

Related Items

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On prime divisors of the index of an algebraic integer
• Integral bases and monogenity of pure fields
• On prolongations of valuations via Newton polygons and liftings of polynomials
• On non monogenity of certain number fields defined by trinomials \(x^6 + ax^3 + b\)
• On certain pure sextic fields related to a problem of Hasse
• Power integral bases for certain pure sextic fields
• Infinite families of non-monogenic trinomials
• Characterization of primes dividing the index of a trinomial
• Factorization over local fields and the irreducibility of generalized difference polynomials
• AN EXPERIMENT ON THE MONOGENITY OF A FAMILY OF TRINOMIALS
• On common index divisors and monogenity of certain number fields defined by x⁵ + ax² + b
• On nonmonogenic number fields defined by