Linear manifolds in sets of solutions of quaternionic polynomial equations of several types
type: Item
instance of: scholarly article
title: Linear manifolds in sets of solutions of quaternionic polynomial equations of several types
zbMATH Open document ID: 1254.11104
author: Dmytro A. Mierzejewski
published in: Advances in Applied Clifford Algebras
publication date: 2012-09-21T00:00:00Z
Mathematics Subject Classification ID: 11R52
zbMATH DE Number: 6085135
zbMATH Keywords: Quaternion
zbMATH Keywords: polynomial equation
zbMATH Keywords: linear manifold
zbMATH Keywords: system of equations
zbMATH Keywords: section by a hyperplane
MaRDI profile type: Publication
full work available at URL: s00006-010-0252-6
OpenAlex ID: W2124037488
cites work: The “fundamental theorem of algebra” for quaternions
cites work: Zeros of regular functions and polynomials of a quaternionic variable
cites work: Q3634088
cites work: Quasi-spherical and multi-quasi-spherical polynomial quaternionic equations: introduction of the notions and some examples
cites work: Q3634019
cites work: The Roots of a Quaternion
cites work: Polynomials and Vandermonde matrices over the field of quaternions
cites work: On the Structure of the Set of Zeros of Quaternionic Polynomials
cites work: ON THE ZEROS OF POLYNOMIALS OVER QUATERNIONS
cites work: Similarity and consimilarity of elements in the real Cayley-Dickson algebras.
DOI: 10.1007/S00006-010-0252-6
Recommended article: Q3697708
Recommended article: On the linear algebra in the quaternionic pluripotential theory
Recommended article: Q4721159
Recommended article: Polynomial differential equations over the quaternions
Recommended article: Q3701513
Recommended article: Q4673769
Recommended article: Q3634088
Recommended article: Linearly degenerate partial differential equations and quadratic line complexes
Recommended article: On the Structure of the Set of Zeros of Quaternionic Polynomials
Recommended article: Q3101206
description: scientific article; zbMATH DE number 6085135