Fedora Core 1 has options to install sendmail, the standard mail server program. You can check it's status by typing as root 'service sendmail status'
Check it's documenation by searching on google and by man-ing sendmail.
FWIW: this type of question could have saved you a lot of time if you search on google, instead of waiting for someone to answer. Although there are many helpful people on LQ, it may be worth it to you to research these questions yourself prior to posting.