<p>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.</p>

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Mixed multiquadratic splitting fields

  • Fatma Kader Bingöl,
  • Adam Chapman,
  • Ahmed Laghribi

摘要

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.