noncommutative generalization

noncommutative generalization
мат.
некоммутативное обобщение

English-Russian scientific dictionary. 2008.

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  • Noncommutative topology — in mathematics is a term applied to the strictly C* algebraic part of the noncommutative geometry program. The program has its origins in the Gel fand duality between the topology of locally compact spaces and the algebraic structure of… …   Wikipedia

  • Noncommutative geometry — Not to be confused with Anabelian geometry. Noncommutative geometry (NCG) is a branch of mathematics concerned with geometric approach to noncommutative algebras, and with construction of spaces which are locally presented by noncommutative… …   Wikipedia

  • Stinespring factorization theorem — In mathematics, Stinespring s dilation theorem, also called Stinespring s factorization theorem, is a result from operator theory that represents any completely positive map on a C* algebra as a composition of two completely positive maps each of …   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

  • Multiplier algebra — In C* algebras, the multiplier algebra, denoted by M(A), of a C* algebra A is a unital C* algebra which is the largest unital C* algebra that contains A as an ideal in a non degenerate way. It is the noncommutative generalization of Stone–Čech… …   Wikipedia

  • 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

  • Emmy Noether — Amalie Emmy Noether Born 23 March 1882(1882 03 23) …   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

  • Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… …   Wikipedia

  • Quasideterminant — Introduction= The quasideterminant is a replacement for the determinant for matrices with noncommutative entries. Example 2 imes2 quasideterminants are as follows::: left|egin{array}{cc} a {11} a {12} a {21} a {22} end{array} ight| {11} = a {11} …   Wikipedia

  • Tannaka–Krein duality — In mathematics, Tannaka–Krein duality theory concerns the interaction of a compact topological group and its category of linear representations. Its natural extension to the non Abelian case is the Grothendieck duality theory. It extends an… …   Wikipedia


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