Distributive

A multiplication * is said to be right distributive if
$(x+y)z=xz+yz$

for every $x$, $y$, and $z$. Similarly, it is said to be left distributive if
$z(x+y)=zx+zy$

for every $x$, $y$, and $z$.

If a multiplication is both right- and left-distributive, it is simply said to be distributive. For example, the real numbers $R$ are distributive.

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