noncommutative

Not having commutativity of all elements under its operation.

Wikipedia foundation.

Look at other dictionaries:

  • noncommutative — adj. * * * …   Universalium

  • noncommutative — adj …   Useful english dictionary

  • Noncommutative algebraic geometry — is a branch of mathematics, and more specifically a direction in noncommutative geometry that studies the geometric properties of formal duals of non commutative algebraic objects such as rings as well as geometric objects derived from them (e.g …   Wikipedia

  • Noncommutative logic — is an extension of linear logic which combines the commutative connectives of linear logic with the noncommutative multiplicative connectives of the Lambek calculus (see External links below). Its sequent calculus relies on the structure of order …   Wikipedia

  • 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 measure and integration — refers to the theory of weights, states, and traces on von Neumann algebras (Takesaki 1979 v. 2 p. 141). References I. E. Segal. A noncommutative extension of abstract integration. Ann. of Math. (2), 57:401–457, 1953. MR # 14:991f,… …   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

  • Noncommutative quantum field theory — In mathematical physics, noncommutative quantum field theory (or quantum field theory on noncommutative spacetime) is an application of noncommutative mathematics to the spacetime of quantum field theory that is an outgrowth of noncommutative… …   Wikipedia

  • Noncommutative ring — In mathematics, more specifically modern algebra and ring theory, a noncommutative ring is a ring whose multiplication is not commutative; that is, if R is a noncommutative ring, there exists a and b in R with a·b ≠ b·a, and conversely.… …   Wikipedia

  • Noncommutative standard model — In theoretical particle physics, the non commutative Standard Model, mainly due to the French mathematician Alain Connes, uses his noncommutative geometry to devise an extension of the Standard Model to include a modified form of general… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”

We are using cookies for the best presentation of our site. Continuing to use this site, you agree with this.