Algebra over a field

:This article is about a particular kind of vector space. For other uses of the term "algebra" see algebra (disambiguation).

Related Topics:
Vector space - Algebra (disambiguation)

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In mathematics, an algebra over a field K, or a K-algebra, is a vector space A over K equipped with a compatible notion of multiplication of elements of A.

Related Topics:
Mathematics - Field - Vector space

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A straightforward generalisation allows K to be any commutative ring.

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(Some authors use the term "algebra" synonymously with "associative algebra", but Wikipedia does not. Note also the other uses of the word listed in the algebra article.)

Related Topics:
Associative algebra - Algebra

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