Simple complex analysis question

1. Aug 18, 2011

McLaren Rulez

Hi,

In complex analysis, is it an axiom that iy=yi where y is real? Or can this result be proved somehow? Thank you.

2. Aug 18, 2011

micromass

Well, it depends on how you define the product. The most elementary way to define complex numbers is by defining the to be couples (a,b) with addition

(a,b)+(c,d)=(a+c,b+d)