Abstract Algebra is a branch of mathematics that studies algebraic structures such as groups, rings, and fields. Unlike basic algebra, which deals with numbers and equations, abstract algebra focuses on the properties and relationships of these structures. It helps mathematicians understand symmetry, solve equations, and explore mathematical concepts in a more generalized way. In group theory, for example, we examine sets equipped with a single operation that satisfies certain rules, like closure and associativity. This framework allows us to analyze various mathematical systems, from the symmetries of geometric shapes to the behavior of numbers under addition and multiplication, revealing deeper connections within mathematics.