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definition of the word ring

by the Wiktionnary

Old English hring from Germanic *hrengaz

The mathematics sense was introduced by mathematician David Hilbert in 1892, a contraction of the German Zahlring. (Reference: Harvey Cohn, Advanced Number Theory, page 49.)



ring (plural rings)

  1. A circumscribing object (looking like an annual ring, earring, finger ring, etc.)
  2. A round piece of (precious) metal worn around the finger.
  3. (Should we delete(+) this redundant sense?) (UK) A bird band, a round piece of metal put around a bird's leg used for identification and studies of migration.
  4. A place where some sports take place; as, a boxing ring.
  5. (Should we delete(+) this redundant sense?) A circular arena where circus acts take place, a circus ring.
  6. A group of people, usually involving some unethical or illegal practices; as a Crime ring.
  7. (algebra) An algebraic structure which is a group under addition and a monoid under multiplication.
    The set of integers, \mathbb{Z}, is the prototypical ring.
  8. (geometry) A planar geometrical figure included between two concentric circles.
  9. (astronomy) A formation of various pieces of material orbiting around a planet.
  10. An old English measure of corn equal to the coomb or half a quarter.
    • 1866: The ring is common in the Huntingdonshire accounts of Ramsey Abbey. It was equal to half a quarter, i.e., is identical with the coomb of the eastern counties. — James Edwin Thorold Rogers, A History of Agriculture and Prices in England, Volume 1, p. 168.

Definition from Wiktionary
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