一个Dirac-Fueter修正方程的交换代数性质的一点注记
A Very Brief Note on Some Commutative Algebraic Properties of a Dirac-Fueter Modified Equation
摘要：
我们提请注意一个修正的Fueter-Dirac方程的四维解所满足的不寻常的性质：在一个坐标自由，常数自由和严格的数学方式，它是可能的，以显示所有的解决方案，修正的Fueter-Dirac方程，这是径向对称时，限制到3-空间，有一个很好的代数结构。局部地，这些解自然地表现为由与具有不可逆项的四元数相关的某个交换环所确定的代数方式。这个环有一个非平凡的局部化。通过使用左和右版本的运营商，我们获得quirality。
英文摘要：
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.
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