Normally when an user registers with my site through the login module of Mambo I get an e-mailnotification of this. When a user registers through the SMF bridge I don't get an e-mailnotification. I would really like a notification of this...

This should not be an issue with the bridge because it's using the same registration link as of the mambo default.

Remember for v.1.3, this is one of the major change we did. We removed the registration function from the bridge. When you register, you're actually using mambo's registration.

Please check your mambo settings.