Mixed multiquadratic splitting fields

Abstract We study mixed multiquadratic field extensions as splitting fields for central simple algebras of exponent 2 in characteristic 2. As an application, we provide examples of nonexcellent mixed biquadratic field extensions.

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Publication Details

Journal
Archiv der Mathematik
Published
2025-05-14
DOI
https://doi.org/10.1007/s00013-025-02135-9
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Mixed multiquadratic splitting fields

Ahmed Laghribi, Adam Chapman, Fatma Kader Bingöl
Archiv der Mathematik
Algebraic Geometry and Number Theory
article

Mixed multiquadratic splitting fields

Ahmed Laghribi, Adam Chapman, Fatma Kader Bingöl
article en

Abstract

Abstract We study mixed multiquadratic field extensions as splitting fields for central simple algebras of exponent 2 in characteristic 2. As an application, we provide examples of nonexcellent mixed biquadratic field extensions.

Archiv der MathematikVol. 125(1)
Scuola Normale Superiore (IT), Academic College of Tel Aviv-Yafo (IL), Laboratoire de Mathématiques Blaise Pascal (FR), Université d'Artois (FR)
Institut national des sciences mathématiques et de leurs interactions
Openalex Percentile: Top 85%
Algebraic Geometry and Number Theory
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