Definitions

from The Century Dictionary.

  • noun In zoology, a tracheal or bronchial half-ring. See tracheal rings (under ring), and cut under pessulus.

from the GNU version of the Collaborative International Dictionary of English.

  • noun (Anat.) One of the incomplete rings of the upper part of the bronchial tubes of most birds. The semirings form an essential part of the syrinx, or musical organ, of singing birds.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

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

Etymologies

from Wiktionary, Creative Commons Attribution/Share-Alike License

semi- +‎ ring

Examples

  • Because of this asymmetry, the algebraic structure of tropical arithmetic is classified as a semiring (whereas ordinary arithmetic on \ (\mathcal {R} \) is a ring).

    bit-player

  • One of the things that Vicary shows is that, for a category with tensor unit $I$ and all finite dagger limits, the semiring of scalars $I \rightarrow I$ has a natural embedding into a characteristic zero field.

    Arcadian Functor

  • Strictly speaking, it's more like a semiring module monad as Int32 isn't a field.

    A Neighborhood of Infinity

  • Strictly speaking, it's more like a semiring module monad as Int32 isn't a field.

    Planet Haskell

  • Here's another bit of jargon for jargon's sake: the tropical semiring is idempotent.

    bit-player

  • As I understand it, Imre Simon and those French mathematicians who take a tropical view of Brazil were interested in the tropical semiring mainly in connection with automata theory.

    bit-player

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