DBMS stands for Data Base Management System and it is a common name for such types of systems. DBMS is a complex software system for management of user databases. There are many DBMSes, both the commercial and free ones such as MySQL, PostgreSQL etc.
A software package that enables end users or application programmers to share data. DBMSs are generally also responsible for data integrity, data access control and automated rollback/restart/recovery.
Data Base Management System. Software that manages, manipulates and retrieves data in a database.