ring
/ɹɪŋ/ noun C2- 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, #92;mathbb#123;Z#125;, 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 2#92;mathbb#123;Z#125; of even integers to be a ring.
Plural rings
Phrasal verbs and expressions
- ring around To call a number of people by phone, usually a circle of ...
- ring back To return a phone call.
- ring in To encircle, to surround in a ring, engirdle.
- ring in To make a phone call to (this place).
- ring off Buzz off; go away; shut up.
- ring out To throw (an opponent) out of the arena, thereby winning.
- ring out To sound clearly and loudly.
- ring up To telephone; to call someone on the telephone.
From the library
“Make yourself perfectly at home,” said the green girl, “and if you wish for anything ring the bell.
“They’ve taken his wedding ring!” he gasped.
Master always wore his plain gold wedding ring on the little finger of his left hand.
That ring with the rough nugget on it was above it, and the twisted snake ring on the third finger.
Other matches
- ring Of a bell, etc., to produce a resonant sound. A1
- ring A circumscribing object, A2
- ring To enclose or surround. C2
- ring A family of sets that is closed under finite un... C2
- ring The resonant sound of a bell, or a sound resemb... C2
- ring around To call a number of people by phone, usually a ...
- ring back To return a phone call.
- ring in To encircle, to surround in a ring, engirdle.
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