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ring with unity

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 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

  • Unity — may refer to:;Education: * Unity School District Public School in Balsam Lake, Wisconsin * Unity University College A university in Ethiopia * Unity College (Maine) a college in Maine, USA;In entertainment: * Unity (song), a duet by Afrika… …   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

  • Matrix ring — In abstract algebra, a matrix ring is any collection of matrices forming a ring under matrix addition and matrix multiplication. The set of n×n matrices with entries from another ring is a matrix ring, as well as some subsets of infinite matrices …   Wikipedia

  • Ring (jewellery) — A finger ring is a band worn as a type of ornamental jewellery around a finger; it is the most common current meaning of the word . Other types of metal bands worn as ornaments are also called rings , such as arm rings and neck rings.Rings are… …   Wikipedia

  • ring — I [[t]rɪ̱ŋ[/t]] TELEPHONING OR MAKING A SOUND ♦♦ rings, ringing, rang, rung (Please look at category 11 to see if the expression you are looking for is shown under another headword.) 1) VERB When you ring someone, you telephone them. [mainly… …   English 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

  • Root of unity — The 5th roots of unity in the complex plane In mathematics, a root of unity, or de Moivre number, is any complex number that equals 1 when raised to some integer power n. Roots of unity are used in many branches of mathematics, and are especially …   Wikipedia

  • Zero ring — In ring theory, a branch of mathematics, a zero ring is a ring (without unity) in which the product of any two elements is 0 (the additive identity element)[1]. (Note: Some authors[2] define a zero ring to be a ring with a single element, see… …   Wikipedia

  • Polynomial ring — In mathematics, especially in the field of abstract algebra, a polynomial ring is a ring formed from the set of polynomials in one or more variables with coefficients in another ring. Polynomial rings have influenced much of mathematics, from the …   Wikipedia

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