[seqfan] Re: Please name this function.

[Ed Jeffery]

Thanks Neil, but the identity map would just be f(x+y) = x+y and f(x*y) =
x*y, which is not what I notated.

> The identity map!

>>* What is the name of a function that is both additive and multiplicative but*>>* not arithmetic (in the sense that x and y are usually not integers), such*>*> that*>>**>*> f(x+y) = f(x)+f(y)*>>**>*> and*>>**>*> f(x*y) = f(x)*f(y)?*