Omega

Omega ($\omega$) is the last letter of the Greek alphabet. In ring theory, omega is a constant the represents $e^{\frac{2i\pi}{3}}$.

Omega ring

Main article: Omega ring

The omega ring is the ring containing $\omega,-\omega,1,-1$. It has the interesting property that whenever one item in the ring is taken to any power, another item in the ring is the result.

Other uses

  • Omega is the smallest ordinal with cardinality Aleph null and the smallest infinite ordinal.

See also

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