Integral Bases and Monogenity of Composite Fields

DOI10.1080/10586458.2017.1382404zbMath1490.11106arXiv1809.10067OpenAlexW2963357615MaRDI QIDQ5382934

István Gaál, László Remete

Publication date: 19 June 2019

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.10067

zbMATH Keywords

power integral basisintegral basismonogenitypure fieldssimplest cubic fieldscomposite fieldssimplest quartic fields

Mathematics Subject Classification ID

Other number fields (11R21) Computer solution of Diophantine equations (11Y50) Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (4)

ON THE MONOGENITY OF CERTAIN BINOMIAL COMPOSITIONS ⋮ The scheme of monogenic generators. I: Representability ⋮ Monogenity in totally real extensions of imaginary quadratic fields with an application to simplest quartic fields ⋮ The monogeneity of radical extensions

Uses Software

• Maple

Cites Work

• Integral bases and monogenity of pure fields
• Non-monogeneity in a family of sextic fields
• Non-monogenity in a family of octic fields
• The Simplest Cubic Fields
• Power Integral Bases in Composits of Number Fields
• Integral bases and monogenity of the simplest sextic fields
• Power Integral Bases in Orders of Composite Fields
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