Journal of Pure and Applied Mathematics: Advances and ApplicationsAuthor's: Niki-Lina Matiadou and Perikles Papadopoulos
Pages: [15] - [26]
Received Date: February 28, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jsata_7100121461
The fundamental theorem of algebra over the quaternion skew field has
gained little attention. It is of less importance than that over the
complex number field, though some problems may reduce to it.
In this work, we use the vector representation of quaternions in order
to obtain simplified forms of the solutions of the quaternionic
equation 
with 
in 
Similarly, we conclude that the following
equation 
with a, b in 
has the unique solution 
although for some special cases we obtain
infinite number of solutions.
quaternions.
