In regular algebra, addition and multiplication are commutative : $$A + B = B + A$$ $$A \times B = B \times A$$ they are also associative : $$A + (B + C) = (A + B) + C$$ $$A \times (B \times C) = (A\times B) \times C$$ And multiplication is said to be distributive : $$A \times (B + C) = (A \times B) + (A \times C)$$.
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