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semiprime ring

См. также в других словарях:

  • Semiprime ring — In mathematics, a ring R is a semiprime ring if its zero ideal is the intersection of all its prime ideals.External links* [http://planetmath.org/encyclopedia/SemiprimeIdeal.html PlanetMath article on semiprime ideals] …   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

  • Ideal (ring theory) — In ring theory, a branch of abstract algebra, an ideal is a special subset of a ring. The ideal concept allows the generalization in an appropriate way of some important properties of integers like even number or multiple of 3 . For instance, in… …   Wikipedia

  • List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …   Wikipedia

  • Prime number — Prime redirects here. For other uses, see Prime (disambiguation). A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is… …   Wikipedia

  • Morita equivalence — In abstract algebra, Morita equivalence is a relationship defined between rings that preserves many ring theoretic properties. It is named after Japanese mathematician Kiiti Morita who defined equivalence and a similar notion of duality in 1958.… …   Wikipedia

  • Goldie's theorem — In mathematics, Goldie s theorem is a basic structural result in ring theory, proved by Alfred Goldie (1920 2005) during the 1950s. It gives a result on the noetherian rings that have a classical ring of quotients, that is a semisimple artinian… …   Wikipedia

  • 57 (number) — ← 56 58 → 57 ← 50 51 52 53 54 55 56 …   Wikipedia

  • Divisor — divisible redirects here. For divisibility of groups, see Divisible group. For the second operand of a division, see Division (mathematics). For divisors in algebraic geometry, see Divisor (algebraic geometry). For divisibility in the ring theory …   Wikipedia

  • 9 (number) — This article is about the number. For other uses, see 9 (disambiguation). 9 −1 0 1 2 3 4 5 6 7 8 9 → List of numbers Integers …   Wikipedia

  • Prime power — In mathematics, a prime power is a positive integer power of a prime number.For example: 5=51, 9=32 and 16=24 are prime powers, while6, 15 and 36 are not. The twenty smallest prime powers are (sequence in OEIS)::* 2, 3, 4, 5, 7, 8, 9, 11, 13, 16 …   Wikipedia

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