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Does the RSM include abstract algebras, such as the four normed division algebras?

April 26, 2017abstract division normed RSM

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Does the RSM include abstract algebras, such as the four normed division algebras?

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Definitely. However, unlike the normed division algebras of the LSM, which lose their algebraic properties as a function of the complex root, the algebras of the LSM are fully distributive, commutative, and associative. This is because the reciprocal numbers of the RSM are scalars, with a duality property, not vectors, with a direction property.