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Colección SciELO Chile

A dynamical characterization for monogenity at every level of some infinite 2-towers

Indexado

WoS	WOS:000729631000001
Scopus	SCOPUS_ID:85136832487

DOI

10.4153/S0008439521000874

Año

2022

Tipo

artículo de investigación

Citas Totales

Autores Afiliación Chile

Instituciones Chile

% Participación
Internacional

Autores
Afiliación Extranjera

Instituciones
Extranjeras

Abstract

We consider a concrete family of 2-towers (Q(x(n)))(n) of totally real algebraic numbers for whichwe prove that, for each n, Z[x(n)] is the ringof integers ofQ(x(n)) if and only if the constant term of theminimal polynomial of x(n) is square-free. We apply our characterization to produce new examples of monogenic number fields, which can be of arbitrary large degree under the ABC-Conjecture.

Revista

Revista	ISSN
Canadian Mathematical Bulletin Bulletin Canadien De Mathematiques	0008-4395

Métricas Externas

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Disciplinas de Investigación

WOS
Mathematics

Scopus
Sin Disciplinas

SciELO
Sin Disciplinas

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Publicaciones WoS (Ediciones: ISSHP, ISTP, AHCI, SSCI, SCI), Scopus, SciELO Chile.

Colaboración Institucional

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Autores - Afiliación

Ord.	Autor	Género	Institución - País
1	Castillo, Marianela	Mujer	Universidad de Concepción - Chile

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Financiamiento

Fuente
Universidad de Concepción
Fondo Nacional de Desarrollo Científico y Tecnológico
Comisión Nacional de Investigación Científica y Tecnológica
Universidad de Concepción (Chile)
Conicyt fellowship "Beca Doctorado Nacional"
Fondecyt research project (Chile)

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Agradecimientos

Agradecimiento
The work is part of my PhD thesis [1] under the supervision of X. Vidaux and C. R. Videla, to whom I am grateful for support and encouragement. It has been supported by the Conicyt fellowship "Beca Doctorado Nacional," by the Universidad de Concepcion (Chile), and by the Fondecyt research project 1130134 (Chile) of X. Vidaux. Part of this work was done while visiting Carlos R. Videla at Mount Royal University, Calgary, Canada. I am grateful to the referees for their careful reading of this paper, which helped improving the presentation and simplify some proofs.
The work is part of my PhD thesis [] under the supervision of X. Vidaux and C. R. Videla, to whom I am grateful for support and encouragement. It has been supported by the Conicyt fellowship “Beca Doctorado Nacional,” by the Universidad de Concepción (Chile), and by the Fondecyt research project 1130134 (Chile) of X. Vidaux. Part of this work was done while visiting Carlos R. Videla at Mount Royal University, Calgary, Canada. I am grateful to the referees for their careful reading of this paper, which helped improving the presentation and simplify some proofs.

Agradecimiento

The work is part of my PhD thesis [1] under the supervision of X. Vidaux and C. R. Videla, to whom I am grateful for support and encouragement. It has been supported by the Conicyt fellowship "Beca Doctorado Nacional," by the Universidad de Concepcion (Chile), and by the Fondecyt research project 1130134 (Chile) of X. Vidaux. Part of this work was done while visiting Carlos R. Videla at Mount Royal University, Calgary, Canada. I am grateful to the referees for their careful reading of this paper, which helped improving the presentation and simplify some proofs.

The work is part of my PhD thesis [] under the supervision of X. Vidaux and C. R. Videla, to whom I am grateful for support and encouragement. It has been supported by the Conicyt fellowship “Beca Doctorado Nacional,” by the Universidad de Concepción (Chile), and by the Fondecyt research project 1130134 (Chile) of X. Vidaux. Part of this work was done while visiting Carlos R. Videla at Mount Royal University, Calgary, Canada. I am grateful to the referees for their careful reading of this paper, which helped improving the presentation and simplify some proofs.