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ring ore

См. также в других словарях:

  • Ore-Bedingung — Die (Links bzw. Rechts )Ore Bedingungen sind in der Ringtheorie, einem Teilgebiet der Algebra, ein Kriterium, welches es erlaubt, die Bildung von Quotientenkörpern oder allgemeiner Lokalisierungen auch auf den Fall zu verallgemeinern, in dem der… …   Deutsch Wikipedia

  • Ore condition — In mathematics, especially in the area of algebra known as ring theory, the Ore condition is a condition introduced by Øystein Ore, in connection with the question of extending beyond commutative rings the construction of a field of fractions, or …   Wikipedia

  • Ore extension — In mathematics, especially in the area of algebra known as ring theory, an Ore extension, named after Oystein Ore, is a special type of a ring extension whose properties are relatively well understood. Ore extensions appear in several natural… …   Wikipedia

  • Ring of Pietroassa — The Ring of Pietroassa (or Buzău torc) is a gold torc like necklace found in a ring barrow in Pietroassa (now Pietroasele), Buzău County, southern Romania (formerly Wallachia), in 1837. It formed part of a large gold hoard (the Pietroasele… …   Wikipedia

  • Ore's theorem — For Ore s theorem in ring theory, see Ore condition. Ore s theorem is a result in graph theory proved in 1960 by Norwegian mathematician Øystein Ore. It gives a sufficient condition for a graph to be Hamiltonian, essentially stating that a graph… …   Wikipedia

  • Ring extension — In mathematics, more specifically in ring theory, a ring extension or extension ring is a ring R with a subring S . We write R / S and say R is a ring extension of S Given an extension R / S of commutative rings and a prime ideal P of R , it… …   Wikipedia

  • Øystein Ore — Born October 7, 1899(1899 10 07) Oslo, Norway Died August 13, 1968(1968 08 13) (a …   Wikipedia

  • Øystein Ore — Øystein Ore, né et mort à Oslo (7 octobre 1899 13 août 1968), est un mathématicien norvégien. Sommaire 1 Vie 2 Œuvre 3 Livres écrits par Ore 4 Voir aussi …   Wikipédia en Français

  • Noetherian ring — In mathematics, more specifically in the area of modern algebra known as ring theory, a Noetherian ring, named after Emmy Noether, is a ring in which every non empty set of ideals has a maximal element. Equivalently, a ring is Noetherian if it… …   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

  • Localization of a ring — In abstract algebra, localization is a systematic method of adding multiplicative inverses to a ring. Given a ring R and a subset S , one wants to construct some ring R* and ring homomorphism from R to R* , such that the image of S consists of… …   Wikipedia

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