ring

The symbol ℤ represents the ring of integers.

Meanings

Noun

A solid object in the shape of a circle.
A group of objects arranged in a circle.
A piece of food in the shape of a ring.
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 group of atoms linked by bonds to form a closed chain in a molecule.
A planar geometrical figure included between two concentric circles.
A diacritical mark in the shape of a hollow circle placed above or under the letter; a kroužek.
An old English measure of corn equal to the coomb or half a quarter.
A hierarchical level of privilege in a computer system, usually at hardware level, used to protect data and functionality (also protection ring).
Either of the pair of clamps used to hold a telescopic sight to a rifle.
The twenty-fifth Lenormand card.
The resonant sound of a bell, or a sound resembling it.
A pleasant or correct sound.
A sound or appearance that is characteristic of something.
A telephone call.
Any loud sound; the sound of numerous voices; a sound continued, repeated, or reverberated.
A chime, or set of bells harmonically tuned.
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.
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.
A family of sets that is closed under finite unions and differences.{{cite-book

Verb

To enclose or surround.
To make an incision around; to girdle.
To attach a ring to, especially for identification.
To surround or fit with a ring, or as if with a ring.
To rise in the air spirally.
To steal and change the identity of (cars) in order to resell them.
Of a bell, etc., to produce a resonant sound.
To make (a bell, etc.) produce a resonant sound.
To produce (a sound) by ringing.
To produce the sound of a bell or a similar sound.
Of something spoken or written, to appear to be, to seem, to sound.
To telephone (someone).
to resound, reverberate, echo.
To produce music with bells.
To repeat often, loudly, or earnestly.

Narrower meaning words

Broader meaning words

pseudo-ring
semiring

Origin

From Middle English ring, from Old English hring, from Proto-Germanic *hringaz, from Proto-Indo-European *(s)krengʰ-, extended nasalized form of *(s)ker-. Cognate with West Frisian ring, Low German Ring, Dutch ring, German Ring, Swedish ring, also Finnish rengas. rink.
From Middle English ringen, from Old English hrinġan, from Proto-Germanic *hringijaną. Cognate with Dutch ringen, Swedish ringa.
From a shortening of German Zahlring (coined by German mathematician David Hilbert in 1892). Apparently first used in English in 1930, E. T. Bell, “Rings whose elements are ideals,” Bulletin of the American Mathematical Society.
Image:Latex integers.svg|thumb|120px|The symbol [[ℤ represents the ring of integers.]]

Modern English dictionary

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