Linear manifolds in sets of solutions of quaternionic polynomial equations of several types

DOI10.1007/s00006-010-0252-6zbMath1254.11104OpenAlexW2124037488MaRDI QIDQ451105

Dmytro A. Mierzejewski

Publication date: 21 September 2012

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-010-0252-6

zbMATH Keywords

polynomial equationlinear manifoldQuaternionsection by a hyperplanesystem of equations

Mathematics Subject Classification ID

Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (3)

On reduction of quaternionic polynomials and their identical equality ⋮ The quaternionic equation \(ax + xb = c\) ⋮ An efficient method for solving equations in generalized quaternion and octonion algebras

Cites Work

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• Quasi-spherical and multi-quasi-spherical polynomial quaternionic equations: introduction of the notions and some examples
• Polynomials and Vandermonde matrices over the field of quaternions
• Zeros of regular functions and polynomials of a quaternionic variable
• Similarity and consimilarity of elements in the real Cayley-Dickson algebras.
• On the Structure of the Set of Zeros of Quaternionic Polynomials
• ON THE ZEROS OF POLYNOMIALS OVER QUATERNIONS
• The Roots of a Quaternion
• The “fundamental theorem of algebra” for quaternions

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