The difference between Ring and Semiring
When used as nouns, ring means a circumscribing object, (roughly) circular and hollow, looking like an annual ring, earring, finger ring etc, whereas semiring means an algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse.
Ring is also verb with the meaning: to surround or enclose.
check bellow for the other definitions of Ring and Semiring
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Ring as a noun (physical):
A solid object in the shape of a circle. A circumscribing object, (roughly) circular and hollow, looking like an annual ring, earring, finger ring etc. 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 burner on a kitchen stove. 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.
Examples:
"synonyms: annulus hoop torus"
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Ring as a noun (physical):
A group of objects arranged in a circle. A circular group of people or objects. A formation of various pieces of material orbiting around a planet. A large circular prehistoric stone construction such as .
Examples:
"a ring of mushrooms growing in the wood"
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Ring as a noun:
A piece of food in the shape of a ring.
Examples:
"onion rings'"
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Ring as a noun:
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.
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Ring as a noun:
An exclusive group of people, usually involving some unethical or illegal practices.
Examples:
"a crime ring; a prostitution ring; a bidding ring (at an auction sale)"
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Ring as a noun (chemistry):
A group of atoms linked by bonds to form a closed chain in a molecule.
Examples:
"a benzene ring'"
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Ring as a noun (geometry):
A planar geometrical figure included between two concentric circles.
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Ring as a noun (typography):
A diacritical mark in the shape of a hollow circle placed above or under the letter; a kroužek.
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Ring as a noun (historical):
An old English measure of corn equal to the coomb or half a quarter.
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Ring as a noun (computing theory):
A hierarchical level of privilege in a computer system, usually at hardware level, used to protect data and functionality (also protection ring).
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Ring as a noun (firearms):
Either of the pair of clamps used to hold a telescopic sight to a rifle.
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Ring as a noun (cartomancy):
The twenty-fifth Lenormand card.
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Ring as a verb (transitive):
To surround or enclose.
Examples:
"The inner city was ringed with dingy industrial areas."
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Ring as a verb (transitive, figuratively):
To make an incision around; to girdle.
Examples:
"They ringed the trees to make the clearing easier next year."
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Ring as a verb (transitive):
To attach a ring to, especially for identification.
Examples:
"We managed to ring 22 birds this morning."
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Ring as a verb (transitive):
To surround or fit with a ring, or as if with a ring.
Examples:
"to ring a pig's snout"
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Ring as a verb (falconry):
To rise in the air spirally.
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Ring as a noun:
The resonant sound of a bell, or a sound resembling it.
Examples:
"The church bell's ring could be heard the length of the valley."
"The ring of hammer on anvil filled the air."
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Ring as a noun (figuratively):
A pleasant or correct sound.
Examples:
"The name has a nice ring to it."
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Ring as a noun (figuratively):
A sound or appearance that is characteristic of something.
Examples:
"Her statements in court had a ring of falsehood."
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Ring as a noun (colloquial):
A telephone call.
Examples:
"I’ll give you a ring when the plane lands."
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Ring as a noun:
Any loud sound; the sound of numerous voices; a sound continued, repeated, or reverberated.
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Ring as a noun:
A chime, or set of bells harmonically tuned.
Examples:
"St Mary's has a ring of eight bells."
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Ring as a verb (intransitive):
Of a bell, etc., to produce a resonant sound.
Examples:
"The bells were ringing in the town."
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Ring as a verb (transitive):
To make (a bell, etc.) produce a resonant sound.
Examples:
"The deliveryman rang the doorbell to drop off a parcel."
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Ring as a verb (intransitive, figuratively):
To produce the sound of a bell or a similar sound.
Examples:
"Whose mobile phone is ringing?"
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Ring as a verb (intransitive, figuratively):
Of something spoken or written, to appear to be, to seem, to sound.
Examples:
"That does not ring true."
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Ring as a verb (transitive, colloquial, British, New Zealand):
To telephone (someone).
Examples:
"I will ring you when we arrive."
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Ring as a verb (intransitive):
to resound, reverberate, echo.
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Ring as a verb (intransitive):
To produce music with bells.
Examples:
"rfquotek Holder"
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Ring as a verb (dated):
To repeat often, loudly, or earnestly.
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Ring as a noun (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.
Examples:
"The set of integers, <math>\mathbb{Z}</math>, is the prototypical ring."
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Ring as a noun (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.
Examples:
"The definition of ring without unity allows, for instance, the set <math>2\mathbb{Z}</math> of even integers to be a ring."
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Semiring as a noun (algebra):
An algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse.
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Semiring as a noun (anatomy):
One of the incomplete rings of the upper part of the bronchial tubes of most birds, forming an essential part of the syrinx of songbirds.