A second domain name only for mail

[syn uw]

Hello,

I currently own one domain name and would like to purchase another just for 
mail. What I mean with that it is just for having a second domain name for 
my email. What is the best solution to do that with BIND, I don't really see 
what to include into my zone files, what do I need ? I would say I only need 
to put the MX in and that's all of course with an SOA and NS, but no A 
records, am I right ?

And for the SOA I need to enter the FQDN of my nameserver and an 
administration e-mail, could I use the ones of my first domain name ?

Thanks for the help

Regards,
Marc
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