A Database Management System is used on every data base to enable working with the storaged data using Data Manipulation Language(DML) and a Data Definition Language(DDL) for administrative purposes. DBMS allow applications to work on more than one DBMS using standards such as SQL (Structured Query Language) and ODBC or JDBS.
Some DMLS are:
Source: http://www.scholz-softwareentwicklung.de/de/thema-edv-it/database/database_management_system.php http://en.wikipedia.org/wiki/Database