Factorization of quaternionic polynomials of bi-degree \((n,1)\)

DOI10.1007/s13366-022-00629-zOpenAlexW4287608499WikidataQ114219938 ScholiaQ114219938MaRDI QIDQ2689462

Daniel F. Scharler, Johannes Siegele, Hans-Peter Schröcker, Johanna Lercher

Publication date: 10 March 2023

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.01744

zbMATH Keywords

ruled surfacefactorization algorithmspherical kinematicsleft/right factor

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Polynomials in real and complex fields: factorization (12D05)

Related Items (1)

Factorization and root-finding for polynomials over division quaternion algebras

Cites Work

• On new types of rational rotation-minimizing frame space curves
• Zeros of regular functions and polynomials of a quaternionic variable
• Quadratic formulas for quaternions
• Factorization results for left polynomials in some associative real algebras: state of the art, applications, and open questions
• Factorization of motion polynomials
• A multiplication technique for the factorization of bivariate quaternionic polynomials
• Rational motions with generic trajectories of low degree
• Surfaces containing two circles through each point
• Analytic projective geometry
• When is F[ x, y a Unique Factorization Domain]
• Zeros of slice functions and polynomials over dual quaternions
• Algebraic Geometry and Kinematics
• On the Zeros of Polynomials over Division Rings
• Equations in Quaternions

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