free algebra

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• Free algebra — This article is about free algebras in ring theory. For the more general free algebras in universal algebra, see free object. In mathematics, especially in the area of abstract algebra known as ring theory, a free algebra is the noncommutative… …   Wikipedia

• Free — may refer to: Free will Political freedom Economic freedom Something given or supplied without payment (gratis) Gratis versus Libre, the distinction between the two meanings above Free may also refer to: Contents 1 Arts and philosophy …   Wikipedia

• Free Lie algebra — In mathematics, a free Lie algebra, over a given field K, is a Lie algebra generated by a set X, without any imposed relations. Contents 1 Definition 2 Universal enveloping algebra 3 Hall sets …   Wikipedia

• Free object — In mathematics, the idea of a free object is one of the basic concepts of abstract algebra. It is a part of universal algebra, in the sense that it relates to all types of algebraic structure (with finitary operations). It also has a clean… …   Wikipedia

• Free Boolean algebra — In abstract algebra, a branch of mathematics, a free Boolean algebra is a Boolean algebra 〈 B , F 〉, such that the set B (called the carrier ) has a subset whose elements are called generators. The generators satisfy the following properties:… …   Wikipedia

• Free probability — is a mathematical theory which studies non commutative random variables. The freeness property is the analogue of the classical notion of independence, and it is connected with free products. This theory was initiated by Dan Voiculescu around… …   Wikipedia

• Free Speech on Evolution — is a Discovery Institute intelligent design campaign. It began in 2005 and has been run hand in hand with the Institute s Teach the Controversy campaign. Its goal is to introduce intelligent design into United States public high school science… …   Wikipedia

• Algebra (ring theory) — In mathematics, specifically in ring theory, an algebra over a commutative ring is a generalization of the concept of an algebra over a field, where the base field K is replaced by a commutative ring R .Any ring can be thought of as an algebra… …   Wikipedia

• Free group — In mathematics, a group G is called free if there is a subset S of G such that any element of G can be written in one and only one way as a product of finitely many elements of S and their inverses (disregarding trivial variations such as st 1 =… …   Wikipedia

• Algebra over a field — This article is about a particular kind of vector space. For other uses of the term algebra , see algebra (disambiguation). In mathematics, an algebra over a field is a vector space equipped with a bilinear vector product. That is to say, it is… …   Wikipedia

• Free abelian group — In abstract algebra, a free abelian group is an abelian group that has a basis in the sense that every element of the group can be written in one and only one way as a finite linear combination of elements of the basis, with integer coefficients …   Wikipedia