Again, thanks a lot for your help.
I've used MySQL 4.1.22 at both ( local/test and remote/production) sides.
But I've used the MySQL5 Admin at local test environment and php MyAdmin on remote hosting.
This way the export from local to remote DB was wrong. As far as I've used php MyAdmin at both sides, everythin became perfect and I am able to export the local DB to production hosting without DB recreation by Mojo.
THANKS!
Igor.