Definition for "Commutative Law" in the Quantum Dictionary

- Natural & Formal Sciences -

Mathematics & Logic Dictionary

The principle in logic and algebra that a binary operator yields the same result when its operands are permuted; formally, for operands A and B and a commutative connective ⊗, A ⊗ B = B ⊗ A (examples: A ∧ B = B ∧ A, A ∨ B = B ∨ A).

- Mathematics & Logic -

Pure Mathematics Dictionary

A property of a binary operation · on a set stating that for every pair of elements a and b the equality a·b = b·a holds; the order of operands does not affect the outcome.

- Pure Mathematics -

Algebra Dictionary

The algebraic property of a binary operation that swapping the order of the two operands does not change the result: for all a, b in the domain, a·b = b·a.