Distributivity Axiom
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A Distributivity Axiom is an axiom that establishes a distributive operation relation between two operations.
- AKA: distributive law.
- Context:
- It can typically facilitate algebraic manipulation with mathematical expressions.
- It can often demonstrate the interaction of addition and multiplication in arithmetic.
- It can range from being a basic distributivity axiom to being a generalized distributivity axiom, depending on its application.
- It can integrate with linear algebra for vector operations.
- Examples:
- algebraic structures, such as:
- Boolean algebra, which applies the distributive property to logical operations.
- Counter-Examples:
- non-distributive operation, which lacks the distributive property.
- See: vector space, set axiom, field, Boolean algebra.