Wheel theory

From Free net encyclopedia

Wheels are a kind of algebra where division is always defined. In particular, division by zero is meaningful. The real numbers can be extended to a wheel, as can any commutative ring.

Also the Riemann sphere can be extended to a wheel by adjoining an element <math>0/0</math>. The Riemann sphere is an extension of the complex plane by an element <math>\infty</math>, where <math>\frac{z}{0}=\infty</math> for any complex <math>z\neq 0</math>. However, <math>0/0</math> is still undefined on the Riemann sphere, but defined in wheels.

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