Algebra Over A Field Definition
noun
A vector space (over some field ) with an additional binary operation, a vector-valued product between vectors, which is bilinear over vector addition and scalar multiplication . (N.B.: such bilinearity implies distributivity of the vector multiplication with respect to the vector addition, which means that such a vector space is also a ring .)
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Other Word Forms of Algebra Over A Field
Noun
Singular:
algebra over a field
Plural:
algebras over a fieldRelated Articles
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