Normalization of Quaternionic Polynomials
Rings and Algebras
2013-01-24 v1
Abstract
Quaternionic polynomials are generated by quaternionic variables and the quaternionic product. This paper proposes the generating ideal of quaternionic polynomials in tensor algebra, finds the Groebner base of the ideal in the case of pure imaginary quaternionic variables, and describes the normal forms of such quaternionic polynomials explicitly.
Cite
@article{arxiv.1301.5338,
title = {Normalization of Quaternionic Polynomials},
author = {Hongbo Li and Lei Huang and Yue Liu},
journal= {arXiv preprint arXiv:1301.5338},
year = {2013}
}