noncommutative

noncommutative
adj.

* * *


Universalium. 2010.

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  • 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

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  • 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

  • Noncommutative residue — In mathematics, noncommutative residue, defined independently by M. Wodzicki (1984) and Guillemin (1985), is a certain trace on the algebra of pseudodifferential operators on a compact differentiable manifold that is expressed via a local density …   Wikipedia

  • Noncommutative harmonic analysis — In mathematics, noncommutative harmonic analysis is the field in which results from Fourier analysis are extended to topological groups which are not commutative. Since for locally compact abelian groups have a well understood theory, Pontryagin… …   Wikipedia

  • Noncommutative unique factorization domain — In mathematics, the noncommutative unique factorization domain is the noncommutative counterpart of the commutative or classical unique factorization domain (UFD). Example The ring of integral quaternions. If the coefficients a0, a1, a2, a3 are… …   Wikipedia

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