ALGEBRAIC INTEGERS OF PURE QUARTIC EXTENSIONS
Antonio Aparecido de Andrade1, Linara Stéfani Facini2,
Livea Cichito Esteves3
1,2,3 Department of Mathematics
São Paulo State University
São José do Rio Preto - SP, 15054-000, BRAZIL

Abstract

Let $\mathbb{Q}$ denote the field of rational numbers and $\mathbb{K}$ be a pure quartic extension, that is, $\mathbb{K}=\mathbb{Q}(\sqrt[4]{d})$, where $d$ is a square free integer. In this work, we present an integral basis, norm, trace and the discriminant of $\mathbb{K}$.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 36
Issue: 1
Year: 2023

DOI: 10.12732/ijam.v36i1.8

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References

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