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algebra > abstract algebra > algebraic structure > algebra over a field

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algebra over a field  

Definition(s)

  • In mathematics, an algebra over a field (often simply called an algebra) is a vector space equipped with a bilinear product. Thus, an algebra is an algebraic structure consisting of a set together with operations of multiplication and addition and scalar multiplication by elements of a field and satisfying the axioms implied by "vector space" and "bilinear".
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Algebra_over_a_field)

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http://data.loterre.fr/ark:/67375/PSR-CS2FD3K2-0

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