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

  1. 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"

  2. 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"

  3. Ring as a noun:

    A piece of food in the shape of a ring.

    Examples:

    "onion rings'"

  4. 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.

  5. 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)"

  6. Ring as a noun (chemistry):

    A group of atoms linked by bonds to form a closed chain in a molecule.

    Examples:

    "a benzene ring'"

  7. Ring as a noun (geometry):

    A planar geometrical figure included between two concentric circles.

  8. Ring as a noun (typography):

    A diacritical mark in the shape of a hollow circle placed above or under the letter; a kroužek.

  9. Ring as a noun (historical):

    An old English measure of corn equal to the coomb or half a quarter.

  10. 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).

  11. Ring as a noun (firearms):

    Either of the pair of clamps used to hold a telescopic sight to a rifle.

  12. Ring as a noun (cartomancy):

    The twenty-fifth Lenormand card.

  1. Ring as a verb (transitive):

    To surround or enclose.

    Examples:

    "The inner city was ringed with dingy industrial areas."

  2. 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."

  3. Ring as a verb (transitive):

    To attach a ring to, especially for identification.

    Examples:

    "We managed to ring 22 birds this morning."

  4. 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"

  5. Ring as a verb (falconry):

    To rise in the air spirally.

  1. 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."

  2. Ring as a noun (figuratively):

    A pleasant or correct sound.

    Examples:

    "The name has a nice ring to it."

  3. Ring as a noun (figuratively):

    A sound or appearance that is characteristic of something.

    Examples:

    "Her statements in court had a ring of falsehood."

  4. Ring as a noun (colloquial):

    A telephone call.

    Examples:

    "I’ll give you a ring when the plane lands."

  5. Ring as a noun:

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

  6. Ring as a noun:

    A chime, or set of bells harmonically tuned.

    Examples:

    "St Mary's has a ring of eight bells."

  1. Ring as a verb (intransitive):

    Of a bell, etc., to produce a resonant sound.

    Examples:

    "The bells were ringing in the town."

  2. 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."

  3. Ring as a verb (intransitive, figuratively):

    To produce the sound of a bell or a similar sound.

    Examples:

    "Whose mobile phone is ringing?"

  4. 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."

  5. Ring as a verb (transitive, colloquial, British, New Zealand):

    To telephone (someone).

    Examples:

    "I will ring you when we arrive."

  6. Ring as a verb (intransitive):

    to resound, reverberate, echo.

  7. Ring as a verb (intransitive):

    To produce music with bells.

    Examples:

    "rfquotek Holder"

  8. Ring as a verb (dated):

    To repeat often, loudly, or earnestly.

  1. 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."

  2. 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."

  1. Semiring as a noun (algebra):

    An algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse.

  2. 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.

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