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algebra > abstract algebra > algebraic structure > associative algebra

Preferred term

associative algebra  

Definition

  • In mathematics, an associative algebra A is an algebraic structure with compatible operations of addition, multiplication (assumed to be associative), and a scalar multiplication by elements in some field K. The addition and multiplication operations together give A the structure of a ring; the addition and scalar multiplication operations together give A the structure of a vector space over K.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Associative_algebra)

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http://data.loterre.fr/ark:/67375/PSR-LLND57KL-D

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