ring with unit element

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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

• Unit ring — In mathematics, a unit ring or ring with a unit is a unital ring, i.e. a ring R with a (multiplicative) unit element, denoted by 1 R or simply 1 if there is no risk of confusion. Alternative definitions of a ring Some authors (such as Herstein)… …   Wikipedia

• Unit — may refer to:In mathematics: * Unit vector, a vector with length equal to 1 * Unit circle, the circle with radius equal to 1, centered at the origin * Unit interval, the interval of all real numbers between 0 and 1 * Imaginary unit, i , whose… …   Wikipedia

• Unit (ring theory) — In mathematics, a unit in a (unital) ring R is an invertible element of R , i.e. an element u such that there is a v in R with : uv = vu = 1 R , where 1 R is the multiplicative identity element.That is, u is an invertible element of the… …   Wikipedia

• ring — ring1 ringless, adj. ringlike, adj. /ring/, n., v., ringed, ringing. n. 1. a typically circular band of metal or other durable material, esp. one of gold or other precious metal, often set with gems, for wearing on the finger as an ornament, a… …   Universalium

• 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

• 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

• 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

• With-profits policy — A with profits policy (Commonwealth) or participating policy (U.S.) is an insurance contract that participates in the profits of a life insurance company. The company is often a mutual life insurance company, or had been one when it began its… …   Wikipedia

• unit — /yooh nit/, n. 1. a single thing or person. 2. any group of things or persons regarded as an entity: They formed a cohesive unit. 3. one of the individuals or groups that together constitute a whole; one of the parts or elements into which a… …   Universalium

• Group ring — This page discusses the algebraic group ring of a discrete group; for the case of a topological group see group algebra, and for a general group see Group Hopf algebra. In algebra, a group ring is a free module and at the same time a ring,… …   Wikipedia