Quasi-spherical and multi-quasi-spherical polynomial quaternionic equations: introduction of the notions and some examples

DOI10.1007/S00006-010-0250-8zbMath1254.11103OpenAlexW2085812132MaRDI QIDQ451088

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/s00006-010-0250-8

zbMATH Keywords

factorizationpolynomialequationQuaternionsection by a hyperplanesystem of equations

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (3)

On reduction of quaternionic polynomials and their identical equality ⋮ Linear manifolds in sets of solutions of quaternionic polynomial equations of several types ⋮ The quaternionic equation \(ax + xb = c\)

Cites Work

• On the Structure of the Set of Zeros of Quaternionic Polynomials
• The “fundamental theorem of algebra” for quaternions

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