affine ring

аффинное кольцо

English-Russian scientific dictionary. 2008.

Смотреть что такое "affine ring" в других словарях:

  • Affine — may refer to:*Affine cipher, a special case of the more general substitution cipher *Affine combination, a certain kind of constrained linear combination *Affine connection, a connection on the tangent bundle of a differentiable manifold *Affine… …   Wikipedia

  • Affine Translationsebene — Als affine Translationsebene oder kurz Translationsebene wird in der synthetischen Geometrie eine affine Ebene dann bezeichnet, wenn ihre Translationsgruppe scharf einfach transitiv auf ihr operiert und sie daher weitgehend durch diese Gruppe… …   Deutsch Wikipedia

  • Affine Räume — Der affine Raum nimmt im systematischen Aufbau der Geometrie eine Mittelstellung zwischen Euklidischem Raum und Projektivem Raum ein. Inhaltsverzeichnis 1 Informelle Definitionen 2 Definition der synthetischen Geometrie 3 Definition der linearen… …   Deutsch Wikipedia

  • Affine Grassmannian (manifold) — In mathematics, there are two distinct meanings of the term affine Grassmannian . In one it is the manifold of all k dimensional affine subspaces of R n (described on this page), while in the other the Affine Grassmannian is a quotient of a group …   Wikipedia

  • Affine Grassmannian — In mathematics, the term affine Grassmannian has two distinct meanings. In one meaning the affine Grassmannian (manifold) is the manifold of all k dimensional subspaces of a finite dimensional vector space, while (described here) the affine… …   Wikipedia

  • Commutative ring — In ring theory, a branch of abstract algebra, a commutative ring is a ring in which the multiplication operation is commutative. The study of commutative rings is called commutative algebra. Some specific kinds of commutative rings are given with …   Wikipedia

  • Spectrum of a ring — In abstract algebra and algebraic geometry, the spectrum of a commutative ring R , denoted by Spec( R ), is defined to be the set of all proper prime ideals of R . It is commonly augmented with the Zariski topology and with a structure sheaf,… …   Wikipedia

  • Inversive ring geometry — In mathematics, inversive ring geometry is the extension to the context of associative rings, of the concepts of projective line, homogeneous coordinates, projective transformations, and cross ratio, concepts usually built upon rings that happen… …   Wikipedia

  • Regular local ring — In commutative algebra, a regular local ring is a Noetherian local ring having the property that the minimal number of generators of its maximal ideal is exactly the same as its Krull dimension. The minimal number of generators of the maximal… …   Wikipedia

  • Double affine Hecke algebra — In mathematics, a double affine Hecke algebra, or Cherednik algebra, is an algebra containing the Hecke algebra of an affine Weyl group, given as the quotient of the group ring of a double affine braid group. They were introduced by Cherednik,… …   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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