Backup my key (private/public)

[Dirk Einecke]

Hi,

I want to backup my public and my private key. Is it right that I've  
only to backup my private key? I do it with this command:

gpg --armor --output _secret.asc --export-secret-key max at mustermann.de

The result for importing (gpg --import) the backup file is my public  
and my private key. Is the private key automatically re-generated from  
the private key?

greetings
Dirk Einecke