Difference between revisions of "Omega"

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==Other uses==
 
==Other uses==
Omega is also used to express [[Aleph null]].
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*Omega is the smallest [[Ordinal|ordinal]] with cardinality [[Aleph null]] and the smallest infinite ordinal.
  
 
==See also==
 
==See also==
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*[[Ring]]
 
*[[Ring]]
 
*[[Omega ring]]
 
*[[Omega ring]]
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[[Category:Constants]]

Latest revision as of 14:54, 5 June 2020

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