Distinguish between information system and data management systen
Answers
A Database Management System is just a fancy way to say database. In the industry you will often see the term RDBMS or Relational Database Management System. As Katherine Horne pointed out, a DBMS is just a tool to store and manage the data in a relational or Hadoop database.
As for “Data Management System”, I would like to know the context you heard this term. If you Google that phrase you will only get hits for DBMS or specific database products. So I think DMS is a misnomer.
There is a “Data Management Program” but that is not software. It is the utilization of governance processes, data architecture standards and best practises to improve the quality and usability of the data of an enterprise.
Data Management has a wide scope, covering 12 functional areas as defined by DAMA
Each of these areas has its own set of tools but there is no overall tool. For instance, Data Architecture, Metadata, and Interoperability are designed using a Data Modelling tool. The Data Modelling tool is probably the single most important tool for Data Management and is a mandatory best practise for designing databases.