The fundamental theorem of algebra for Hamilton and Cayley numbers

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On the Multiplicity of Zeroes of Polynomials with Quaternionic Coefficients (2008, background): “Thus, by Theorem 3.4 in [ 4 ], one can factor a spherical root”
Regular Functions of a Quaternionic Variable (2013, background): “In Chapter 3, we survey the study of the zero sets conducted in [23, 24, 30, 31], which extended [45, 46] (see also [17, 34]).”
Slice regular functions on real alternative algebras (2010, background): “See also [38], [32] and [23] for other proofs.”
Twistor transforms of quaternionic functions and orthogonal complex structures (2012, background): “For any given c ∈ H, the polynomial f (q)−c = q2+qi−c has at least one root by the quaternionic fundamental theorem of algebra (see, for instance, [17]).”
Regular Moebius transformations of the space of quaternions (2008, background): “For n > 1, by the fundamental theorem of algebra for quaternions (see, for instance, [10, 16, 18, 19]), qan + .”