## RING

### Ring

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)*

and as such is available under the Creative Commons Attribution/Share-Alike License.

and as such is available under the Creative Commons Attribution/Share-Alike License.

### ring

#### Noun

- A circumscribing object, (roughly) circular and hollow, looking like an annual ring, earring, finger ring etc.
- A circular group of people or objects.
*a***ring**of mushrooms growing in the wood

- A round piece of (precious) metal worn around the finger or through the ear, nose, etc.
- A bird band, a round piece of metal put around a bird's leg used for identification and studies of migration.
- A piece of food in the shape of a ring.
*onion***rings**

- 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.
- An exclusive group of people, usually involving some unethical or illegal practices.
*a crime***ring**; a prostitution**ring**

- A planar geometrical figure included between two concentric circles.
- A burner on a kitchen stove.
- A formation of various pieces of material orbiting around a planet.
- A diacritical mark in the shape of a hollow circle placed above or under the letter; a krouzek.
- An old English measure of corn equal to the coomb or half a quarter.
- a large circular prehistoric stone construction such as .
- A hierarchical level of privilege in a computer system, usually at hardware level, used to protect data and functionality (also
*protection ring*). - In a jack plug, the connector between the tip and the sleeve.
- 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.
- A flexible band partly or wholly encircling the spore cases of ferns.

#### Noun (etymology 2)

- 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.

- A pleasant or correct sound.
*The name has a nice***ring**to it.

- A telephone call.
*I’ll give you a***ring**when the plane lands.

- Any loud sound; the sound of numerous voices; a sound continued, repeated, or reverberated.
- A chime, or set of bells harmonically tuned.

#### Noun (etymology 3)

- 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**.

- 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.*

#### Verb

- To surround or enclose.
- The inner city was
**ringed**with dingy industrial areas.

- The inner city was
- To make an incision around; to girdle.
- They
**ringed**the trees to make the clearing easier next year.

- They
- To attach a ring to, especially for identification.
- Only
**ringed**hogs may forage in the commons. *We managed to***ring**22 birds this morning.

- Only
- To surround or fit with a ring, or as if with a ring.
*to***ring**a pig's snout

- To rise in the air spirally.

#### Verb (etymology 2)

- Of a bell, to produce sound.
*The bells were***ringing**in the town.

- To make (a bell) produce sound.
*The deliveryman***rang**the doorbell to drop off a parcel.

- To produce the sound of a bell or a similar sound.
*Whose mobile phone is***ringing**?

- Of something spoken or written, to appear to be, to seem, to sound.
*That does not***ring**true.

- To telephone (someone).
- I will
you when we arrive.*ring*

- I will
- to resound, reverberate, echo.
- To produce music with bells.
- 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.

and as such is available under the Creative Commons Attribution/Share-Alike License.