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Algebra vs. Ring — What's the Difference?

Algebra vs. Ring — What's the Difference?

Difference Between Algebra and Ring

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Algebra

Algebra (from Arabic: الجبر‎, romanized: al-jabr, lit. 'reunion of broken parts, bonesetting') is one of the broad areas of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.
Jan 24, 2022

Ring

A small circular band, typically of precious metal and often set with one or more gemstones, worn on a finger as an ornament or a token of marriage, engagement, or authority
He had a silver ring on one finger
A bishop's ring
A diamond ring
Jan 24, 2022

Algebra

A branch of mathematics in which symbols, usually letters of the alphabet, represent numbers or members of a specified set and are used to represent quantities and to express general relationships that hold for all members of the set.
Jan 24, 2022

Ring

A ring-shaped or circular object
An inflatable rubber ring
Fried onion rings
Jan 24, 2022

Algebra

A set together with a pair of binary operations defined on the set. Usually, the set and the operations simultaneously form both a ring and a module.
Jan 24, 2022
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Ring

An enclosed space, surrounded by seating for spectators, in which a sport, performance, or show takes place
A circus ring
Jan 24, 2022

Algebra

A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
Jan 24, 2022

Ring

A group of people engaged in a shared enterprise, especially one involving illegal or unscrupulous activity
The police had been investigating the drug ring
Jan 24, 2022

Algebra

The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
Jan 24, 2022

Ring

A number of atoms bonded together to form a closed loop in a molecule
A benzene ring
Jan 24, 2022

Algebra

The study of algebraic structures.
Jan 24, 2022

Ring

A set of elements with two binary operations, addition and multiplication, the second being distributive over the first and associative.
Jan 24, 2022

Algebra

A universal algebra.
Jan 24, 2022

Ring

An act of ringing a bell, or the resonant sound caused by this
There was a ring at the door
Jan 24, 2022

Algebra

An algebraic structure consisting of a module over a commutative ring (or a vector space over a field) along with an additional binary operation that is bilinear over module (or vector) addition and scalar multiplication.
Jan 24, 2022

Ring

A particular quality conveyed by something heard or expressed
The song had a curious ring of nostalgia to it
Jan 24, 2022

Algebra

A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under intersections and differences).
Jan 24, 2022

Ring

Surround (someone or something), especially for protection or containment
The courthouse was ringed with police
Jan 24, 2022

Algebra

One of several other types of mathematical structure.
Jan 24, 2022

Ring

Put an aluminium strip round the leg of (a bird) for subsequent identification
Only a small proportion of warblers are caught and ringed
Jan 24, 2022

Algebra

(figurative) A system or process, that is like algebra by substituting one thing for another, or in using signs, symbols, etc., to represent concepts or ideas.
Jan 24, 2022

Ring

Fraudulently change the identity of (a motor vehicle), typically by changing its registration plate
There may be an organization which has ringed the stolen car to be resold
Jan 24, 2022

Algebra

That branch of mathematics which treats of the relations and properties of quantity by means of letters and other symbols. It is applicable to those relations that are true of every kind of magnitude.
Jan 24, 2022

Ring

Short for ringbark
Jan 24, 2022

Algebra

A treatise on this science.
Jan 24, 2022

Ring

Make a clear resonant or vibrating sound
A shot rang out
A bell rang loudly
Jan 24, 2022

Algebra

The mathematics of generalized arithmetical operations
Jan 24, 2022

Ring

Call by telephone
Harriet rang Dorothy up next day
She rang to tell him the good news
I rang her this morning
Jan 24, 2022

Ring

(of a place) resound or reverberate with (a sound or sounds)
The room rang with laughter
Jan 24, 2022

Ring

A circular object, form, line, or arrangement.
Jan 24, 2022

Ring

A small circular band, generally made of precious metal and often set with jewels, worn on the finger.
Jan 24, 2022

Ring

A circular band used for carrying, holding, or containing something
A napkin ring.
Jan 24, 2022

Ring

Rings(Sports) A pair of circular metal bands suspended in the air for gymnastic exercises, on which balancing and swinging maneuvers are performed while holding the bands as motionless as possible.
Jan 24, 2022

Ring

A circular movement or course, as in dancing.
Jan 24, 2022

Ring

An enclosed, usually circular area in which exhibitions, sports, or contests take place
A circus ring.
Jan 24, 2022

Ring

A rectangular arena set off by stakes and ropes in which boxing or wrestling events are held.
Jan 24, 2022

Ring

The sport of boxing.
Jan 24, 2022

Ring

An enclosed area in which bets are placed at a racetrack.
Jan 24, 2022

Ring

Bookmakers considered as a group.
Jan 24, 2022

Ring

An exclusive group of people acting privately or illegally to advance their own interests
A drug ring.
Jan 24, 2022

Ring

A political contest; a race.
Jan 24, 2022

Ring

(Botany) An annual ring.
Jan 24, 2022

Ring

(Mathematics) The area between two concentric circles; annulus.
Jan 24, 2022

Ring

(Mathematics) A set of elements subject to the operations of addition and multiplication, in which the set is a commutative group under addition and associative under multiplication and in which the two operations are related by distributive laws.
Jan 24, 2022

Ring

Any of the turns constituting a spiral or helix.
Jan 24, 2022

Ring

(Chemistry) A group of atoms linked by bonds that may be represented graphically in polygonal form. Also called closed chain.
Jan 24, 2022

Ring

The sound created by a bell or another sonorous vibrating object.
Jan 24, 2022

Ring

A loud sound, especially one that is repeated or continued.
Jan 24, 2022

Ring

A telephone call
Give me a ring when you have time.
Jan 24, 2022

Ring

A suggestion of a particular quality
His offer has a suspicious ring.
Jan 24, 2022

Ring

A set of bells.
Jan 24, 2022

Ring

The act or an instance of sounding a bell.
Jan 24, 2022

Ring

To surround with or as if with a ring; encircle
Guests ringed the coffee table.
Jan 24, 2022

Ring

To form into a ring or rings.
Jan 24, 2022

Ring

To ornament or supply with a ring or rings
Ringed the door knocker with a wreath of holly.
Jan 24, 2022

Ring

To remove a circular strip of bark around the circumference of (a tree trunk or branch); girdle.
Jan 24, 2022

Ring

To put a ring in the nose of (an animal).
Jan 24, 2022

Ring

To hem in (animals) by riding in a circle around them.
Jan 24, 2022

Ring

(Games) To toss a ring over (a peg), as in horseshoes.
Jan 24, 2022

Ring

To form a ring or rings.
Jan 24, 2022

Ring

To move, run, or fly in a spiral or circular course.
Jan 24, 2022

Ring

To give forth a clear resonant sound.
Jan 24, 2022

Ring

To cause something to ring.
Jan 24, 2022

Ring

To sound a bell in order to summon someone
I'll ring for the maid.
Jan 24, 2022

Ring

To have a sound or character suggestive of a particular quality
A story that rings true.
Jan 24, 2022

Ring

To be filled with sound; resound
The room rang with the children's laughter.
Jan 24, 2022

Ring

To hear a persistent humming or buzzing
My ears were ringing from the sound of the blast.
Jan 24, 2022

Ring

To be filled with talk or rumor
The whole town rang with the bad news.
Jan 24, 2022

Ring

To cause (a bell, for example) to ring.
Jan 24, 2022

Ring

To produce (a sound) by or as if by ringing.
Jan 24, 2022

Ring

To announce, proclaim, or signal by or as if by ringing
A clock that rings the hour.
Jan 24, 2022

Ring

Chiefly British To call (someone) on the telephone. Often used with up
She rang me at noon. Let's ring her up and invite her.
Jan 24, 2022

Ring

To test (a coin, for example) for quality by the sound it produces when struck against something.
Jan 24, 2022

Ring

(physical) A solid object in the shape of a circle.
Jan 24, 2022

Ring

A circumscribing object, (roughly) circular and hollow, looking like an annual ring, earring, finger ring etc.
Jan 24, 2022

Ring

A round piece of (precious) metal worn around the finger or through the ear, nose, etc.
Jan 24, 2022

Ring

(British) A bird band, a round piece of metal put around a bird's leg used for identification and studies of migration.
Jan 24, 2022

Ring

(UK) A burner on a kitchen stove.
Jan 24, 2022

Ring

In a jack plug, the connector between the tip and the sleeve.
Jan 24, 2022

Ring

(historical) 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.
Jan 24, 2022

Ring

(botany) A flexible band partly or wholly encircling the spore cases of ferns.
Jan 24, 2022

Ring

(physical) A group of objects arranged in a circle.
Jan 24, 2022

Ring

A circular group of people or objects.
A ring of mushrooms growing in the wood
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Ring

(astronomy) A formation of various pieces of material orbiting around a planet or young star.
Jan 24, 2022

Ring

(British) A large circular prehistoric stone construction such as Stonehenge.
Jan 24, 2022

Ring

A piece of food in the shape of a ring.
Onion rings
Jan 24, 2022

Ring

(internet) webring
Jan 24, 2022

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.
Jan 24, 2022

Ring

The open space in front of a racecourse stand, used for betting purposes.
Jan 24, 2022

Ring

An exclusive group of people, usually involving some unethical or illegal practices. Category:en:Corruption
A crime ring; a prostitution ring; a bidding ring (at an auction sale)
Jan 24, 2022

Ring

(chemistry) A group of atoms linked by bonds to form a closed chain in a molecule.
A benzene ring
Jan 24, 2022

Ring

(geometry) A planar geometrical figure included between two concentric circles.
Jan 24, 2022

Ring

(typography) A diacritical mark in the shape of a hollow circle placed above or under the letter; a kroužek.
Jan 24, 2022

Ring

(historical) An old English measure of corn equal to the coomb or half a quarter.
Jan 24, 2022

Ring

(computing theory) A hierarchical level of privilege in a computer system, usually at hardware level, used to protect data and functionality (also protection ring).
Jan 24, 2022

Ring

(firearms) Either of the pair of clamps used to hold a telescopic sight to a rifle.
Jan 24, 2022

Ring

(cartomancy) The twenty-fifth Lenormand card.
Jan 24, 2022

Ring

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.
Jan 24, 2022

Ring

(figuratively) A pleasant or correct sound.
The name has a nice ring to it.
Jan 24, 2022

Ring

(figuratively) A sound or appearance that is characteristic of something.
Her statements in court had a ring of falsehood.
Jan 24, 2022

Ring

(colloquial) A telephone call.
I’ll give you a ring when the plane lands.
Jan 24, 2022

Ring

Any loud sound; the sound of numerous voices; a sound continued, repeated, or reverberated.
Jan 24, 2022

Ring

A chime, or set of bells harmonically tuned.
St Mary's has a ring of eight bells.
Jan 24, 2022

Ring

(algebra) 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, \mathbb{Z}, is the prototypical ring.
Jan 24, 2022

Ring

(algebra) 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\mathbb{Z} of even integers to be a ring.
Jan 24, 2022

Ring

A family of sets that is closed under finite unions and differences.{{cite-book
Jan 24, 2022

Ring

(transitive) To enclose or surround.
The inner city was ringed with dingy industrial areas.
Jan 24, 2022

Ring

To make an incision around; to girdle; to cut away a circular tract of bark from a tree in order to kill it.
They ringed the trees to make the clearing easier next year.
Jan 24, 2022

Ring

(transitive) To attach a ring to, especially for identification.
We managed to ring 22 birds this morning.
Jan 24, 2022

Ring

(transitive) To surround or fit with a ring, or as if with a ring.
To ring a pig’s snout
Jan 24, 2022

Ring

(falconry) To rise in the air spirally.
Jan 24, 2022

Ring

(transitive) To steal and change the identity of (cars) in order to resell them.
Jan 24, 2022

Ring

To ride around (a group of animals, especially catle) to keep them milling in one place; hence intransitive, to work as a drover, to muster cattle.
Jan 24, 2022

Ring

(intransitive) Of a bell, etc., to produce a resonant sound.
The bells were ringing in the town.
Jan 24, 2022

Ring

(transitive) To make (a bell, etc.) produce a resonant sound.
The deliveryman rang the doorbell to drop off a parcel.
Jan 24, 2022

Ring

(transitive) To produce (a sound) by ringing.
They rang a Christmas carol on their handbells.
Jan 24, 2022

Ring

To produce the sound of a bell or a similar sound.
Whose mobile phone is ringing?
Jan 24, 2022

Ring

Of something spoken or written, to appear to be, to seem, to sound.
That does not ring true.
Jan 24, 2022

Ring

To telephone (someone).
I will ring you when we arrive.
Jan 24, 2022

Ring

(intransitive) to resound, reverberate, echo.
Jan 24, 2022

Ring

(intransitive) To produce music with bells.
Jan 24, 2022

Ring

(dated) To repeat often, loudly, or earnestly.
Jan 24, 2022

Ring

To cause to sound, especially by striking, as a metallic body; as, to ring a bell.
Jan 24, 2022

Ring

To make (a sound), as by ringing a bell; to sound.
The shard-borne beetle, with his drowsy hums,Hath rung night's yawning peal.
Jan 24, 2022

Ring

To repeat often, loudly, or earnestly.
Jan 24, 2022

Ring

To sound, as a bell or other sonorous body, particularly a metallic one.
Now ringen trompes loud and clarion.
Why ring not out the bells?
Jan 24, 2022

Ring

To practice making music with bells.
Jan 24, 2022

Ring

To sound loud; to resound; to be filled with a ringing or reverberating sound.
With sweeter notes each rising temple rung.
The hall with harp and carol rang.
My ears still ring with noise.
Jan 24, 2022

Ring

To continue to sound or vibrate; to resound.
The assertion is still ringing in our ears.
Jan 24, 2022

Ring

To be filled with report or talk; as, the whole town rings with his fame.
Jan 24, 2022

Ring

To surround with a ring, or as with a ring; to encircle.
Jan 24, 2022

Ring

To make a ring around by cutting away the bark; to girdle; as, to ring branches or roots.
Jan 24, 2022

Ring

To fit with a ring or with rings, as the fingers, or a swine's snout.
Jan 24, 2022

Ring

To rise in the air spirally.
Jan 24, 2022

Ring

A sound; especially, the sound of vibrating metals; as, the ring of a bell.
Jan 24, 2022

Ring

Any loud sound; the sound of numerous voices; a sound continued, repeated, or reverberated.
The ring of acclamations fresh in his ears.
Jan 24, 2022

Ring

A chime, or set of bells harmonically tuned.
As great and tunable a ring of bells as any in the world.
Jan 24, 2022

Ring

A circle, or a circular line, or anything in the form of a circular line or hoop.
Jan 24, 2022

Ring

Specifically, a circular ornament of gold or other precious material worn on the finger, or attached to the ear, the nose, or some other part of the person; as, a wedding ring.
Upon his thumb he had of gold a ring.
The dearest ring in Venice will I give you.
Jan 24, 2022

Ring

A circular area in which races are or run or other sports are performed; an arena.
Place me, O, place me in the dusty ring,Where youthful charioteers contend for glory.
Jan 24, 2022

Ring

An inclosed space in which pugilists fight; hence, figuratively, prize fighting.
Jan 24, 2022

Ring

A circular group of persons.
And hears the Muses in a ringAye round about Jove's alter sing.
Jan 24, 2022

Ring

The plane figure included between the circumferences of two concentric circles.
Jan 24, 2022

Ring

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.
Jan 24, 2022

Ring

An elastic band partly or wholly encircling the spore cases of ferns. See Illust. of Sporangium.
Jan 24, 2022

Ring

A clique; an exclusive combination of persons for a selfish purpose, as to control the market, distribute offices, obtain contracts, etc.
The ruling ring at Constantinople.
Jan 24, 2022

Ring

A characteristic sound;
It has the ring of sincerity
Jan 24, 2022

Ring

A toroidal shape;
A ring of ships in the harbor
A halo of smoke
Jan 24, 2022

Ring

A rigid circular band of metal or wood or other material used for holding or fastening or hanging or pulling;
There was still a rusty iron hoop for tying a horse
Jan 24, 2022

Ring

(chemistry) a chain of atoms in a molecule that forms a closed loop
Jan 24, 2022

Ring

An association of criminals;
Police tried to break up the gang
A pack of thieves
Jan 24, 2022

Ring

The sound of a bell ringing;
The distinctive ring of the church bell
The ringing of the telephone
The tintinnabulation that so volumnously swells from the ringing and the dinging of the bells
Jan 24, 2022

Ring

A square platform marked off by ropes in which contestants box or wrestle
Jan 24, 2022

Ring

Jewelry consisting of a circlet of precious metal (often set with jewels) worn on the finger;
She had rings on every finger
He noted that she wore a wedding band
Jan 24, 2022

Ring

A strip of material attached to the leg of a bird to identify it (as in studies of bird migration)
Jan 24, 2022

Ring

Sound loudly and sonorously;
The bells rang
Jan 24, 2022

Ring

Ring or echo with sound;
The hall resounded with laughter
Jan 24, 2022

Ring

Make (bells) ring, often for the purposes of musical edification;
Ring the bells
My uncle rings every Sunday at the local church
Jan 24, 2022

Ring

Be around;
Developments surround the town
The river encircles the village
Jan 24, 2022

Ring

Get or try to get into communication (with someone) by telephone;
I tried to call you all night
Take two aspirin and call me in the morning
Jan 24, 2022

Ring

Attach a ring to the foot of, in order to identify;
Ring birds
Band the geese to observe their migratory patterns
Jan 24, 2022

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