semiring

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

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  • Semiring — Sem i*ring (s[e^]m [i^]*r[i^]ng ), n. (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. [1913 Webster] …   The Collaborative International Dictionary of English

  • Semiring — In abstract algebra, a semiring is an algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse. The term rig is also used occasionally this originated as a joke, suggesting that rigs are… …   Wikipedia

  • Semiring — Original name in latin Semiring Name in other language Semering, Semiring State code ID Continent/City Asia/Jakarta longitude 7.63 latitude 114.0222 altitude 7 Population 0 Date 2012 01 17 …   Cities with a population over 1000 database

  • Semiring — Der Ausdruck Halbring bzw. Semiring bezeichnet in der Mathematik eine algebraische Struktur, siehe Halbring (Algebraische Struktur) ein Mengensystem, siehe Halbring (Mengensystem) …   Deutsch Wikipedia

  • semiring — semi·ring …   English syllables

  • semiring — ˈ ̷ ̷(ˌ) ̷ ̷+ˌ noun Etymology: semi + ring : a partial or incomplete ring; especially : half ring …   Useful english dictionary

  • Near-semiring — In mathematics, a near semiring (also seminearring) is an algebraic structure more general to near ring and semiring. Near semirings arise naturally from functions on semigroups. Definition A near semiring is a nonempty set S with two binary… …   Wikipedia

  • C-semiring — In abstract algebra, a c semiring (that is, a constraint based semiring) is a tuple such that: A is a set and 0, 1 are elements of A . + is the additive operation and is a commutative (i.e., +( a , b ) = +( b , a )) and associative (i.e., +( a… …   Wikipedia

  • c-semiring — In abstract algebra, a c semiring (that is, a constraint based semiring) is a tuple <A,+,X,0,1> such that: A is a set and 0, 1 are elements of A. + is the additive operation and is a commutative (i.e., +(a,b) = +(b,a)) and associative (i.e …   Wikipedia

  • List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …   Wikipedia

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