division algebra

a linear algebra in which each element of the vector space has a multiplicative inverse.

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Universalium. 2010.

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  • Division algebra — In the field of mathematics called abstract algebra, a division algebra is, roughly speaking, an algebra over a field, in which division is possible. Contents 1 Definitions 2 Associative division algebras 3 Not necessarily asso …   Wikipedia

  • division algebra — Math. a linear algebra in which each element of the vector space has a multiplicative inverse …   Useful english dictionary

  • Normed division algebra — In mathematics, a normed division algebra A is a division algebra over the real or complex numbers which is also a normed vector space, with norm || · || satisfying the following property: for all x and y in A. While the definition allows normed… …   Wikipedia

  • Division ring — In abstract algebra, a division ring, also called a skew field, is a ring in which division is possible. Specifically, it is a non trivial ring in which every non zero element a has a multiplicative inverse, i.e., an element x with a·x = x·a = 1 …   Wikipedia

  • Division (mathematics) — Divided redirects here. For other uses, see Divided (disambiguation). For the digital implementation of mathematical division, see Division (digital). In mathematics, especially in elementary arithmetic, division (÷ …   Wikipedia

  • División por cero — Saltar a navegación, búsqueda Representación gráfica de la función y = 1/x. Cuando x «tiende» a 0+, y se «aproxima» a infinito. En matemáticas, la división por cero es aquella división en la que el divisor es igual …   Wikipedia Español

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  • Division de Ciencias Básicas e Ingeniería Azcapotzalco — Saltar a navegación, búsqueda La División de ciencias Básicas e Ingeniería Azcapotzalco o DCBI es una de las tres divisiones de la Universidad Autónoma Metropolitana Unidad Azcapotzalco. La integran 5 departamentos: Ciencias Básicas, Electrónica …   Wikipedia Español

  • División polinomial — Saltar a navegación, búsqueda En álgebra, división polinomial es un algoritmo que permite dividir un polinomio por otro polinomio de igual o menor grado. El algoritmo es una versión generalizada de la técnica aritmética de división. Es fácilmente …   Wikipedia Español

  • Division by zero — This article is about the mathematical concept. For other uses, see Division by zero (disambiguation). The function y = 1/x. As x approaches 0 from the right, y approaches infinity. As x approaches 0 from the left, y approaches negative …   Wikipedia

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