English

N-th root

Rings and Algebras 2008-06-23 v1

Abstract

The quaternion equation X^n=A is solved for any integer number n > 1. A is a given quaternion with komplex numbers as its elements. We use the isomorphism between quaternions and (4,4)-matrices to solve this equation.

Keywords

Cite

@article{arxiv.0806.3411,
  title  = {N-th root},
  author = {Jochen Hans},
  journal= {arXiv preprint arXiv:0806.3411},
  year   = {2008}
}

Comments

13 pages

R2 v1 2026-06-21T10:52:53.510Z