In the mathematical study of abstract algebra, a ring is an algebraic structure with operations generalizing the arithmetic operations of addition and multiplication. By means of this generalization, theorems from the algebra of arithmetic are extended to non-numerical objects like polynomials, series and functions.

The above text is a snippet from Wikipedia: Ring (mathematics)
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  1. A circumscribing object, (roughly) circular and hollow, looking like an annual ring, earring, finger ring etc.
  2. A circular group of people or objects.
    a ring of mushrooms growing in the wood
  3. A round piece of (precious) metal worn around the finger or through the ear, nose, etc.
  4. A bird band, a round piece of metal put around a bird's leg used for identification and studies of migration.
  5. A piece of food in the shape of a ring.
    onion rings
  6. A place where some sports or exhibitions take place; notably a circular or comparable arena, such as a boxing ring or a circus ring; hence the field of a political contest.
  7. An exclusive group of people, usually involving some unethical or illegal practices.
    a crime ring; a prostitution ring
  8. A planar geometrical figure included between two concentric circles.
  9. A burner on a kitchen stove.
  10. A formation of various pieces of material orbiting around a planet.
  11. A diacritical mark in the shape of a hollow circle placed above or under the letter; a krouzek.
  12. An old English measure of corn equal to the coomb or half a quarter.
  13. a large circular prehistoric stone construction such as .
  14. A hierarchical level of privilege in a computer system, usually at hardware level, used to protect data and functionality (also protection ring).
  15. In a jack plug, the connector between the tip and the sleeve.
  16. An instrument, formerly used for taking the sun's altitude, consisting of a brass ring suspended by a swivel, with a hole at one side through which a solar ray entering indicated the altitude on the graduated inner surface opposite.
  17. A flexible band partly or wholly encircling the spore cases of ferns.

Noun (etymology 2)

  1. The resonant sound of a bell, or a sound resembling it.
    The church bell's ring could be heard the length of the valley.
    The ring of hammer on anvil filled the air.
  2. A pleasant or correct sound.
    The name has a nice ring to it.
  3. A telephone call.
    I’ll give you a ring when the plane lands.
  4. Any loud sound; the sound of numerous voices; a sound continued, repeated, or reverberated.
  5. A chime, or set of bells harmonically tuned.

Noun (etymology 3)

  1. An algebraic structure which consists of a set with two binary operations, an additive operation and a multiplicative operation, such that the set is an abelian group under the additive operation, a monoid under the multiplicative operation, and such that the multiplicative operation is distributive with respect to the additive operation.
    The set of integers, <math>\mathbb{Z}</math>, is the prototypical ring.
  2. An algebraic structure as above, but only required to be a semigroup under the multiplicative operation, that is, there need not be a multiplicative identity element.
    The definition of ring without unity allows, for instance, the set <math>2\mathbb{Z}</math> of even integers to be a ring.


  1. To surround or enclose.
    The inner city was ringed with dingy industrial areas.
  2. To make an incision around; to girdle.
    They ringed the trees to make the clearing easier next year.
  3. To attach a ring to, especially for identification.
    Only ringed hogs may forage in the commons.
    We managed to ring 22 birds this morning.
  4. To surround or fit with a ring, or as if with a ring.
    to ring a pig's snout
  5. To rise in the air spirally.

Verb (etymology 2)

  1. Of a bell, to produce sound.
    The bells were ringing in the town.
  2. To make (a bell) produce sound.
    The deliveryman rang the doorbell to drop off a parcel.
  3. To produce the sound of a bell or a similar sound.
    Whose mobile phone is ringing?
  4. Of something spoken or written, to appear to be, to seem, to sound.
    That does not ring true.
  5. To telephone (someone).
    I will ring you when we arrive.
  6. to resound, reverberate, echo.
  7. To produce music with bells.
  8. To repeat often, loudly, or earnestly.

The above text is a snippet from Wiktionary: ring
and as such is available under the Creative Commons Attribution/Share-Alike License.

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