associative algebra
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English
Noun
associative algebra (plural associative algebras)
- (algebra) A vector space over some field which also has an associative vector-valued multiplication operator between vectors which together with the abelian group feature of the vector space makes a ring.
- Synonym: linear algebra
- Antonym: non-associative algebra
- Hypernyms: algebra over a field, non-associative algebra
- Hyponyms: algebraic number field, Boolean ring, tensor algebra, matrix algebra, Lie algebra, polynomial ring, polynomial algebra, Grassmann algebra, Clifford algebra, geometric algebra, central simple algebra, algebraic extension
- (algebra) A module over a ring together with an associative bilinear module-element-valued operator between module elements which together with the abelian group feature of the module makes a ring.
- Synonym: linear algebra
- Antonym: non-associative 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, geometric algebra