Abstract algebra is a branch of mathematics that deals with algebraic structures such as groups, rings, fields, modules, and vector spaces. It is also known as modern algebra, algebraic structures, and general algebra. The study of abstract algebra involves the use of symbols and formulas that represent mathematical concepts, rather than specific numerical values. Other synonymous terms for abstract algebra include algebraic topology, category theory, commutative algebra, homological algebra, and non-commutative algebra. Abstract algebra plays an essential role in diverse fields such as computer science, physics, and engineering, and it has contributed significantly to the development of modern science and technology.