associative algebra

English

Noun

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