  We call attention to the unusual properties that the 4 dimensional solutions
for a modified Fueter-Dirac equations satisfy: In a coordinate-free,
constant-free and strictly mathematical way it is possible to show that all the
solutions for a modified Fueter-Dirac Equation, which are radial symmetric when
restricted to the 3-space, have a nice algebraic structure. Locally, these
solutions behave naturally in a algebraic way determined by a certain
commutative ring related to the quaternions with non-invertibles. This ring has
a nontrivial localization. By using left and right versions of the operator we
obtain quirality.
