Is there a way to remove an app from only one device when using the same account over two devices?

I've just got a tablet - which is currently syncing settings and downloading all the apps that I have obtained from the market on my phone. I won't need all these apps and would like to remove some from just the tablet (but leave them available for restore on the phone etc).

Is this possible? Does the phone have an independent "installed app" list to the tablet?

Thanks.