Factoring skew polynomials over Hamilton's quaternion algebra and the
complex numbers
Using nonassociative algebras constructed out of skew-polynomial rings
as introduced by Petit, we show that all non-constant polynomials in
the skew-polynomial ring over Hamilton's quaternions decompose into a
product of linear factors, and that all non-constant polynomials in the
skew-polynomial ring over the complex numbers decompose into a product
of linear and quadratic irreducible factors.
S. Pumpluen < susanne.pumpluen@nottingham.ac.uk >