semiring

Definitions

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

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.

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.

semi- +‎ ring

Help support Wordnik (and make this page ad-free) by adopting the word semiring.

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 2009
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 2009
Strictly speaking, it's more like a semiring module monad as Int32 isn't a field.

A Neighborhood of Infinity 2009
Strictly speaking, it's more like a semiring module monad as Int32 isn't a field.

Planet Haskell 2009
Here's another bit of jargon for jargon's sake: the tropical semiring is idempotent.

bit-player 2009
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 2009