Mixed multiquadratic splitting fields
Fatma Kader Bing\"ol, Adam Chapman, and Ahmed Laghribi
TL;DR
This paper investigates mixed multiquadratic field extensions as splitting fields for certain algebraic structures in characteristic 2, providing new examples of nonexcellent extensions.
Contribution
It introduces the study of mixed multiquadratic extensions as splitting fields for exponent 2 algebras in characteristic 2 and constructs explicit nonexcellent examples.
Findings
Identification of mixed multiquadratic extensions as splitting fields
Construction of nonexcellent mixed biquadratic extensions
Insights into algebraic properties in characteristic 2
Abstract
We study mixed multiquadratic field extensions as splitting fields for central simple algebras of exponent in characteristic . As an application, we provide examples of nonexcellent mixed biquadratic field extensions.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Advanced Differential Equations and Dynamical Systems