Wheel theory

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Wheel theory is the theory of wheels. A wheel is an algebraic structure where division by 0 has meaning. The term wheel was inspired by the topological picture .[1]

Definition[change | change source]

A wheel is an algebraic structure satisfying(for all values , , and ):

  • Addition and multiplication are commutative and associative, with and as their respective identities.

Wheels replace the usual division with a unary operator applied to one argument similar (but not identical) to the multiplicative inverse , such that becomes shorthand for . Also, replaces the fraction .

Sources[change | change source]

References[change | change source]

  1. Carlström 2004.