associative algebra
An 'associative algebra' merges the properties of a vector space and a ring, ensuring the multiplication of elements follows the associative property.
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Definition
C2Mathematics
(technical, academic)A structure that combines a vector space with a bilinear product, where the product satisfies the associative law.
Example
- In an associative algebra, the equation (ab)c = a(bc) holds for any elements a, b, and c.
- Associative algebras are fundamental in the study of linear transformations and matrix theory.
Similar
Terms that have similar or relatively close meanings to "associative algebra":
non-associative algebraalgebraic structurecommutative algebrauniversal algebradivision algebraalgebraic analysisalgebraic statisticsalgebraic notationassociation timealgebraic graph theorylinear algebraalgebraically closed