Dedekind's criterion for the monogenicity of a number field versus Uchida's and Lüneburg's
DOI10.2748/tmj.20200602zbMath1486.11129arXiv1809.04122OpenAlexW3201331924MaRDI QIDQ2075403
Xavier Vidaux, Carlos R. Videla
Publication date: 14 February 2022
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.04122
Decidability (number-theoretic aspects) (11U05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Algebraic numbers; rings of algebraic integers (11R04) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)
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Cites Work
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- On prime divisors of the index of an algebraic integer
- On the ring of integers of real cyclotomic fields
- When is \(\mathbb{Z}[a\) the ring of the integers?]
- On a paper of Uchida concerning simple finite extensions of Dedekind domains
- Discriminant Equations in Diophantine Number Theory
- Definability of the natural numbers in totally real towers of nested square roots
- The Undecidability of Algebraic Rings and Fields
- A Generalization of Dedekind Criterion
- On the integral basis of the maximal real subfield of a cyclotomic field.
- Julia Robinson numbers and arithmetical dynamic of quadratic polynomials
- Julia Robinson numbers
- Sur les polynômes à coefficients entiérs et de discriminant donné
- Resultants of cyclotomic polynomials
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