Database server
Appearance
A database server is a computer or program running on a computer which provides database services to other programs or computers. They typically provide a complete database management system of some sort, even if limited to only basic database creation, repair and deletion.
An alternative approach is to build the support for the information storage directly into the programs which are using it. This is common on less powerful computer systems or for applications which don't have complex requirements.
In the internet context, it's very common for web sites to have web servers delivering pages which have their core content stored in a database server.