Mac CS4 Serial on Windows...?

Hello all...

Excuse me if this has been discussed before, but I was not able to find a discussion relating to my question.

I just purchased CS4 for my Mac after using the 30-day trial, and I am very much a PS newb. I wish to use CS4 on my windows- based laptop. I believe you are able to use the one serial on two computers at the same time if I am not mistaken...?

If I download the trial version of CS4 on my windows laptop - will I be able to use the serial from the Mac CS4 I purchased?