Cover Image

When is the ring of integers of a number field coverable?

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ayad, Mohamed, Kihel, Omar
Format:	Preprint
Published:	2023
Subjects:	Number Theory Commutative Algebra 11R04, 12Y05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Galois Action and Localization in Number Fields
by: Coykendall, Jim, et al.
Published: (2025)

On the index of power compositional polynomials
by: Kaur, Sumandeep, et al.
Published: (2024)

Twisted Derivations in Algebraic Number Fields
by: Manju, Praveen, et al.
Published: (2024)

An Elementary Problem in Galois Theory about the Roots of Irreducible Polynomials
by: Krithika, M, et al.
Published: (2023)

Root Clusters over Number fields : Inverse Problems and Applications
by: Jaiswal, Shubham
Published: (2025)

On Waring numbers of henselian rings
by: Kowalczyk, Tomasz, et al.
Published: (2022)

The determination of norm-Euclidean cyclic cubic fields
by: Bagger, Gustav Kjærbye, et al.
Published: (2025)

On irreducible factors of polynomials over integers
by: Garg, Rishu, et al.
Published: (2025)

On common index divisors and monogenity of certain number fields defined by trinomials of type $x^{2^r}+ax^m+b$
by: Yakkou, Hamid Ben
Published: (2022)

Hopf-Galois module structure of monogenic orders in cubic number fields
by: Gil-Muñoz, Daniel
Published: (2025)

The lattice of ideals of certain rings
by: Savin, Diana
Published: (2023)

$(σ, τ)$-Derivations of Number Rings with Coding Theory Applications
by: Manju, Praveen, et al.
Published: (2024)

An approach to Julia Robinson numbers through the lattice of subfields
by: Vidaux, Xavier, et al.
Published: (2024)

On generalised Pythagorean triples over number fields
by: García, Pedro-José Cazorla
Published: (2025)

Some factorization results for bivariate polynomials
by: Bonciocat, Nicolae Ciprian, et al.
Published: (2024)

Certifying rings of integers in number fields
by: Baanen, Anne, et al.
Published: (2024)

Norm relations and computational problems in number fields
by: Biasse, Jean-François, et al.
Published: (2020)

On the monogenity of totally complex pure octic fields
by: Gaál, István
Published: (2024)

On Salem numbers which are exceptional units II
by: Zaimi, Toufik
Published: (2024)

On the monogenity of quartic number fields defined by $x^4+ax^2+b$
by: Fadil, Lhoussain El, et al.
Published: (2022)

A Generalized Davenport Constant of the Second Kind
by: Kettinger, Jared
Published: (2025)

On the distances between Pisot numbers generating the same number field
by: Zaimi, Toufik
Published: (2024)

Explicit Euclidean division algorithms for some degree 8 number rings
by: Levrat, Christophe
Published: (2026)

On Lenstra's criterion for norm-Euclideanity of number fields and properties of Dedekind zeta-functions
by: Pertile, Jordan, et al.
Published: (2024)

Norms, Normsets, and Factorization
by: Coykendall, Jim, et al.
Published: (2024)

On indices and monogenity of quartic number fields defined by quadrinomials
by: Yakkou, Hamid Ben
Published: (2024)

P-adic approximation of algebraic integers and residue class rings of rings of integer-valued polynomials
by: Frisch, Sophie, et al.
Published: (2024)

Some factorization results for formal power series
by: Garg, Rishu, et al.
Published: (2025)

The $t$-metric Mahler measures of surds and rational numbers
by: Samuels, Charles L., et al.
Published: (2014)

On Minimal generating sets of splitting field, Cluster towers and Multiple transitivity of Galois groups
by: Jaiswal, Shubham, et al.
Published: (2025)

Breaking the 4 barrier for the bound of a generating set of the class group
by: Grenié, Loïc, et al.
Published: (2022)

A generalization of Dumas irreducibility criterion
by: Singh, Jitender
Published: (2025)

A generalized Dumas irreducibility criterion
by: Garg, Rishu, et al.
Published: (2025)

Investigating monogenity in a family of cyclic sextic fields
by: Gaál, István
Published: (2025)

Power integral bases in a family of octic fields
by: Gaál, István
Published: (2025)

On the monogenity of pure number fields: application to the existence of canonical number systems
by: Yakkou, Hamid Ben, et al.
Published: (2024)

On characterization of Monogenic number fields associated with certain quadrinomials and its applications
by: Chatterjee, Tapas, et al.
Published: (2024)

Arithmetic Aspects of Number Fields Generated by Polynomial Families
by: Barman, Rupam, et al.
Published: (2026)

A Study of monogenity of Binomial Composition
by: Jakhar, Anuj, et al.
Published: (2024)

Monogenic Fields from Polynomial Compositions with Applications
by: Jakhar, Anuj, et al.
Published: (2026)