A database management system manages all the primary aspects of a database, including managing data manipulation, user authentication, and inserting or extracting data. A DBMS defines what is called the data schema, or the structure in which the data is stored.
What is Database & Database Management System DBMS | Introduction to DBMS
Relational database management systems (RDBMS) implement the relational model of tables and relationships.
The term DBMS has been around since the 1960s, when IBM developed the first DBMS model, called Information Management System, in which data was stored in a computer in a hierarchical tree structure. Individual pieces of data were only connected between parent and child records.
The next generation of databases were network DBMSs, which attempted to overcome some of the limitations of hierarchical design by incorporating a one-to-many relationship between data. This brought us to the 1970s, when Edgar F. Codd of IBM created the relational database model, the precursor to the model we know today.