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ring with identity

См. также в других словарях:

  • Ring (mathematics) — This article is about algebraic structures. For geometric rings, see Annulus (mathematics). For the set theory concept, see Ring of sets. Polynomials, represented here by curves, form a ring under addition and multiplication. In mathematics, a… …   Wikipedia

  • Ring homomorphism — In ring theory or abstract algebra, a ring homomorphism is a function between two rings which respects the operations of addition and multiplication. More precisely, if R and S are rings, then a ring homomorphism is a function f : R → S such that …   Wikipedia

  • Ring theory — In abstract algebra, ring theory is the study of rings algebraic structures in which addition and multiplication are defined and have similar properties to those familiar from the integers. Ring theory studies the structure of rings, their… …   Wikipedia

  • ring — ring1 noun 1》 a small circular band, typically of precious metal, worn on a finger as an ornament or as a token of marriage, engagement, or authority. 2》 a circular band, article, or mark.     ↘a thin band of rock and ice particles round a planet …   English new terms dictionary

  • Ring of integers — In mathematics, the ring of integers is the set of integers making an algebraic structure Z with the operations of integer addition, negation, and multiplication. It is a commutative ring, and is the prototypical such by virtue of satisfying only …   Wikipedia

  • Boolean ring — In mathematics, a Boolean ring R is a ring (with identity) for which x 2 = x for all x in R ; that is, R consists only of idempotent elements.Boolean rings are automatically commutative and of characteristic 2 (see below for proof). A Boolean… …   Wikipedia

  • Ring — /ring/, n. a male given name. * * * I Circular band of gold, silver, or other precious or decorative material usually worn on the finger, but sometimes on the toes, the ears, or the nose. The earliest examples were found in the tombs of ancient… …   Universalium

  • Divisibility (ring theory) — In mathematics, the notion of a divisor originally arose within the context of arithmetic of whole numbers. Please see the page about divisors for this simplest example. With the development of abstract rings, of which the integers are the… …   Wikipedia

  • Simple ring — In abstract algebra, a simple ring is a non zero ring that has no ideal besides the zero ideal and itself. A simple ring can always be considered as a simple algebra.According to the Artin Wedderburn theorem, every simple ring that is left or… …   Wikipedia

  • Identity resolution — is an operational intelligence process, typically powered by an identity resolution engine or middleware stack, whereby organizations can connect disparate data sources with a view to understanding possible identity matches and non obvious… …   Wikipedia

  • Jacobson ring — In mathematics, in the realm of ring theory, a commutative ring with identity is said to be a Hilbert ring or a Jacobson ring if every prime ideal of the ring is an intersection of maximal ideals.In a commutative unital ring, every radical ideal… …   Wikipedia

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