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Monogenity and Power Integral Bases: Recent Developments
Version 1
: Received: 27 May 2024 / Approved: 27 May 2024 / Online: 27 May 2024 (14:05:50 CEST)
How to cite: Gaál, I. Monogenity and Power Integral Bases: Recent Developments. Preprints 2024, 2024051748. https://doi.org/10.20944/preprints202405.1748.v1 Gaál, I. Monogenity and Power Integral Bases: Recent Developments. Preprints 2024, 2024051748. https://doi.org/10.20944/preprints202405.1748.v1
Abstract
Monogenity is a classical area of algebraic number theory that is very actively researched even today. This paper is a collection of the results obtained during the last few years in this area. Several of these results were presented at the series of online conferences "Monogenity and power integral bases".
Keywords
algebraic number fields; index of an element; generators of power integral bases; monogenic number fields; monogenic polynomials; pure fields; trinomials; relative extensions; algorithms
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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