## Algebra

**Algebra** is related to mathematics, but for historical reasons, the word "algebra" has three meanings as a bare word, depending on the context. The word also constitutes various terms in mathematics, showing more variation in the meaning. This article gives a broad overview of them, including the history.

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### Some articles on algebra:

Initial

... used in programming, such as lists and trees, can be obtained as initial

**Algebra**- Use in Computer Science... used in programming, such as lists and trees, can be obtained as initial

**algebras**of specific endofunctors ... While there may be several initial**algebras**for a given endofunctor, they are unique up to isomorphism, which informally means that the "observable" properties of a data structure can be ... operations are Combined into one function, they give , which makes this an F-**algebra**for the endofunctor F sending to ...List Of Commutative

... Commutative

**Algebra**Topics... Commutative

**algebra**is the branch of abstract**algebra**that studies commutative rings, their ideals, and modules over such rings ... algebraic number theory build on commutative**algebra**...Topological

... In mathematics, a topological

**Algebra**... In mathematics, a topological

**algebra**A over a topological field K is a topological vector space together with a continuous multiplication that makes it an**algebra**over K ... A unital associative topological**algebra**is a topological ring ... An example of a topological**algebra**is the**algebra**C of continuous real-valued functions on the closed unit interval, or more generally any Banach**algebra**...Abstract

... A ring has two binary operations (+) and (×), with × distributive over + ... Under the first operator (+) it forms an abelian group ...

**Algebra**- Rings and Fields... A ring has two binary operations (+) and (×), with × distributive over + ... Under the first operator (+) it forms an abelian group ...

Bivector - History

... bivector was first defined in 1844 by German mathematician Hermann Grassmann in exterior

... bivector was first defined in 1844 by German mathematician Hermann Grassmann in exterior

**algebra**as the result of the exterior product of two vectors ... William Kingdon Clifford in 1888 added the geometric product to Grassmann's**algebra**, incorporating the ideas of both Hamilton and Grassmann, and founded Clifford**algebra**, that the bivector as it is known ... Today the bivector is largely studied as a topic in geometric**algebra**, a Clifford**algebra**over real or complex vector spaces with a nondegenerate quadratic form ...### Famous quotes containing the word algebra:

“Poetry has become the higher *algebra* of metaphors.”

—José Ortega Y Gasset (1883–1955)