A Three Dimensional Modification of the Gaussian Number Field
A Three Dimensional Modification of the Gaussian Number Field
Abstract For vectors in E 3 we introduce an associative, commutative and distributive multiplication. We describe the related algebraic and geometrical properties, and hint some applications. Based on properties of hyperbolic (Clifford) complex numbers, we prove that the resulting algebra 𝕋 is an associative algebra over a field and contains …