Quadratic unilateral polynomials over split quaternions
Algebraic Geometry
2024-03-29 v2
Abstract
In this paper, we derive explicit formulas for computing the roots of with being not invertible in split quaternion algebra. We also imitate the approach developed by Opfer, Janovska and Falcao etc. to verify our results when the corresponding companion polynomials are not identically vanishing.
Cite
@article{arxiv.2205.03605,
title = {Quadratic unilateral polynomials over split quaternions},
author = {Wensheng Cao},
journal= {arXiv preprint arXiv:2205.03605},
year = {2024}
}