ON THE CLASSIFICATION OF CENTRALLY FINITE ALTERNATIVE DIVISION RINGS SATISFYING ALGEBRAIC CLOSURE CONDITIONS

DOI10.1142/S0219498812500880zbMath1303.17006MaRDI QIDQ4649486

Riccardo Ghiloni

Publication date: 22 November 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

quaternionsfundamental theorem of algebraoctonionsreal closed fieldsalgebraic closure conditionscentrally finite alternative division ringssemialgebraic Brouwer degree

Mathematics Subject Classification ID

Alternative rings (17D05) Nonassociative division algebras (17A35)

Cites Work

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• Slice regular functions on real alternative algebras
• Zeros of regular functions of quaternionic and octonionic variable: a division lemma and the camshaft effect
• On octonionic polynomials
• On the multiplicity of zeroes of polynomials with quaternionic coefficients
• Intersection theory for o-minimal manifolds
• A note on the fundamental theorem of algebra for the octonions
• Equations in Quaternions
• The “fundamental theorem of algebra” for quaternions

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