associative algebra

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English

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Noun

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associative algebra (plural associative algebras)

  1. (algebra) An algebra over a ring (or more narrowly, an algebra over a field) whose bilinear product is associative.
    Synonym: linear algebra
    Hypernyms: algebra over a ring, non-associative algebra
    Hyponyms: algebraic number field, Boolean ring, tensor algebra, matrix algebra, polynomial ring, polynomial algebra, Grassmann algebra, Clifford algebra, geometric algebra, central simple algebra, algebraic extension