non-associative algebra
"Non-associative algebra" is a concept in abstract algebra where the order of operations affects the outcome, unlike associative algebras.
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Definition
C2Abstract Algebra
(technical, academic)An algebraic structure where the order of multiplication can change the result, meaning (ab)c may not equal a(bc).
Example
- In a non-associative algebra, the product of three elements may depend on how they are grouped.
- Lie algebras and Jordan algebras are examples of non-associative algebras.
Similar
Terms that have similar or relatively close meanings to "non-associative algebra":
associative algebraalgebraic structureuniversal algebracommutative algebradivision algebraalgebraic analysisalgebraic notationalgebraic statisticsalgebraic graph theory