ring without identity

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• 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

• Glossary of ring theory — Ring theory is the branch of mathematics in which rings are studied: that is, structures supporting both an addition and a multiplication operation. This is a glossary of some terms of the subject. Contents 1 Definition of a ring 2 Types of… …   Wikipedia

• Without Remorse — Infobox Book | name = Without Remorse title orig = translator = image caption = author = Tom Clancy cover artist = country = United States language = English series = Ryanverse genre = Thriller, novel publisher = Putnam release date = 1993 media… …   Wikipedia

• Ring of sets — In mathematics, a nonempty collection of sets mathcal{R} is called a ring (of sets) if it is closed under intersection and symmetric difference. That is, for any A,Binmathcal{R}, #A cap B in mathcal{R} #A riangle B in mathcal{R}where riangle… …   Wikipedia

• Ring of Honor — For other uses, see Ring of Honor (disambiguation). Ring of Honor Ring of Honor Wrestling Entertanment, LLC. Type Privately Held Industry Professional wrestling Founded 2002 Founder(s) Rob Feinstein C …   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

• Pseudo-ring — In abstract algebra, a rng (also called a pseudo ring or non unital ring) is an algebraic structure satisfying the same properties as a ring, except that multiplication need not have an identity element. The term rng (pronounced rung) is meant to …   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

• Domain (ring theory) — In mathematics, especially in the area of abstract algebra known as ring theory, a domain is a ring such that ab = 0 implies that either a = 0 or b = 0.[1] That is, it is a ring which has no left or right zero divisors. (Sometimes such a ring is… …   Wikipedia

• Composition ring — In mathematics, a composition ring, introduced in (Adler 1962), is a commutative ring (R, 0, +, −, ·), possibly without an identity 1 (see non unital ring), together with an operation such that, for any three elements one has …   Wikipedia