Álgebra universal


Álgebra universal

El Álgebra Universal es el sector de la matemática que estudia las ideas comunes a todas las estructuras algebraicas.

Desde el punto de vista del álgebra universal, una álgebra (o álgebra abstracta) es un conjunto A dotado de una serie de operaciones que actúan sobre A. Una operación n-aria sobre A es una función que acepta n elementos de A y retorna un sólo elemento de A.


Wikimedia foundation. 2010.

Mira otros diccionarios:

  • Algebra (disambiguation) — Algebra is a branch of mathematics.Algebra may also mean: * elementary algebra * abstract algebra * linear algebra * universal algebra * computer algebraIn addition, many mathematical objects are known as algebras. * In logic: ** Boolean algebra… …   Wikipedia

  • Álgebra abstracta — Archivo:Álgebra Moderna Birkhoff y MacLane.jpg Es la exposición de una doctrina tan esencialmente abstracta sin que resulte árida para el lector no especialmente preparado. Obra maestra del método y claridad didáctica. Por todo ello tuvo un éxito …   Wikipedia Español

  • Universal algebra — (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ( models ) of algebraic structures.For instance, rather than take particular groups as the object of study, in universal… …   Wikipedia

  • Universal logic — is the field of logic that is concerned with giving an account of what features are common to all logical structures. Universal logic is to logic what universal algebra is to algebra.The term universal logic was introduced in the 1990s by Swiss… …   Wikipedia

  • Álgebra de Boole — (también llamada Retículas booleanas) en informática y matemática, es una estructura algebraica que esquematiza las operaciones lógicas Y, O , NO y Si (AND,OR,NOT,IF), así como el conjunto de operaciones unión, intersección y complemento. Se… …   Wikipedia Español

  • Universal — may refer to:* The Universe, defined as the summation of all particles and energy that exist and the space time in which all events occurAs a modifier* Universal (metaphysics) * Universal joint, a machine part consisting of a pair of hinges… …   Wikipedia

  • Algebra of systems — (AoS) is an executable systems modeling framework for system synthesis and evaluation [Koo 2007a] . It can be used to automate complex model reasoning tasks for system design projects. AoS provides a formal structure for reasoning about elements… …   Wikipedia

  • Universal enveloping algebra — In mathematics, for any Lie algebra L one can construct its universal enveloping algebra U ( L ). This construction passes from the non associative structure L to a (more familiar, and possibly easier to handle) unital associative algebra which… …   Wikipedia

  • Universal property — In various branches of mathematics, certain constructions are frequently defined or characterised by an abstract property which requires the existence of a unique morphism under certain conditions. These properties are called universal properties …   Wikipedia

  • Universal C*-algebra — In mathematics, more specifically in the theory of C* algebras, a universal C* algebra is one characterized by a universal property. A universal C* algebra can be expressed as a presentation, in terms of generators and relations. One requires… …   Wikipedia