Multiplicative functions

This article page is a stub, please help by expanding it.

Not to be confused with multiplicative arithmetic functions, a term used in number theory which involves coprimality.

In algebra, a multiplicative function (or multiplicative map) is a function that preserves the multiplication operation, i.e.

$f(xy)=f(x)f(y),$

for any two elements $x$ and $y$ in the domain.

See also

• Additive functions