anticommutative

anticommutative
Of an operator , for which a , b = - (b , a)
See Also: anticommutative, commutative

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  • anticommutative — /an tee keuh myooh teuh tiv, kom yeuh tay , an tuy /, adj. Math. 1. (of a binary operation) having the property that one term operating on a second is equal to the negative of the second operating on the first, as ab = ba. 2. (of two matrices)… …   Universalium

  • anticommutative — ● anticommutatif, anticommutative adjectif Se dit d une opération dans laquelle l échange des composants conduit à un résultat de signe ou de sens contraires …   Encyclopédie Universelle

  • anticommutative — /an tee keuh myooh teuh tiv, kom yeuh tay , an tuy /, adj. Math. 1. (of a binary operation) having the property that one term operating on a second is equal to the negative of the second operating on the first, as ab = ba. 2. (of two matrices)… …   Useful english dictionary

  • Anticommutativity — In mathematics, anticommutativity refers to the property of an operation being anticommutative, i.e. being non commutative in a precise way. Anticommutative operations are widely used in algebra, geometry, mathematical analysis and, as a… …   Wikipedia

  • Anticommutativité — En mathématiques, l anticommutativité est la propriété caractérisant les opérations pour lesquelles intervertir deux arguments transforme le résultat en son opposé. Par exemple, une opération binaire est anticommutative si Cette propriété… …   Wikipédia en Français

  • Graded algebra — In mathematics, in particular abstract algebra, a graded algebra is an algebra over a field (or commutative ring) with an extra piece of structure, known as a gradation (or grading ). Graded rings A graded ring A is a ring that has a direct sum… …   Wikipedia

  • Cross product — This article is about the cross product of two vectors in three dimensional Euclidean space. For other uses, see Cross product (disambiguation). In mathematics, the cross product, vector product, or Gibbs vector product is a binary operation on… …   Wikipedia

  • Exterior algebra — In mathematics, the exterior product or wedge product of vectors is an algebraic construction generalizing certain features of the cross product to higher dimensions. Like the cross product, and the scalar triple product, the exterior product of… …   Wikipedia

  • Loi De Composition Interne — L’algèbre est la branche des mathématiques qui s’intéresse aux ensembles et aux relations qui peuvent y être établies. Elle recherche les conséquences générales qui découlent des propriétés de ces relations, indépendamment de la nature précise… …   Wikipédia en Français

  • 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

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