RDBMS stands for Relational Database Management System. RDBMS is the basis for SQL, and for all modern database systems like MS SQL Server, IBM DB2, Oracle, MySQL, and Microsoft Access.

A Relational database management system (RDBMS) is a database management system (DBMS) that is based on the relational model as introduced by E. F. Codd.
A relational database management system (RDBMS) is a program that lets you create, update, and administer a relational database. Most commercial RDBMS’s use the Structured Query Language (SQL) to access the database, although SQL was invented after the development of the relational model and is not necessary for its use.