The monogeneity of radical extensions

DOI10.4064/aa200811-7-10zbMath1469.11413OpenAlexW3133485984MaRDI QIDQ4988882

Hanson Smith

Publication date: 20 May 2021

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa200811-7-10

zbMATH Keywords

Kummer extensionpower integral basisradical extensionrelative integral basismonogenic extensions

Mathematics Subject Classification ID

Cyclotomic extensions (11R18) Algebraic numbers; rings of algebraic integers (11R04) Other abelian and metabelian extensions (11R20)

Related Items (13)

On monogenity of certain pure number fields defined by $$x^{{2}^{u}.3^{v}} - m$$ ⋮ On index divisors and monogenity of certain septic number fields defined by x⁷ + ax³ + b ⋮ On common index divisors and monogenity of certain number fields defined by x⁵ + ax² + b ⋮ 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 $x^{84}-m$ ⋮ A note on monogenity of certain pure number fields defined by \(x^{p^r} - a\) with non-square-free parameter ⋮ On monogenity of certain pure number fields defined by \(x^{2^r\cdot 5^s\cdot 7^t}-m\) ⋮ On nonmonogenic number fields defined by trinomials of type \(x^n +ax^m+b\) ⋮ On monogenity of certain pure number fields defined by $x^{2^r\cdot7^s}-m$ ⋮ On index divisors and non-monogenity of certain quintic number fields defined by x⁵ + ax^m + bx + c ⋮ On relative monogeneity of a family of number fields defined by \(X^{p^n}+aX^{p^s}-b\) ⋮ On monogenity of certain number fields defined by trinomials ⋮ Common index divisor of the number fields defined by

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