# Definition:Abstract Algebra

## Definition

Abstract algebra is a branch of mathematics which studies algebraic structures and algebraic systems.

It can be roughly described as the study of sets equipped with operations.

## Also known as

Abstract algebra is also sometimes referred to as modern algebra, particularly in older texts.

## Also see

• Results about abstract algebra can be found here.

## Linguistic Note

The word algebra originates from the Arabic word al-ğabr, meaning balancing, reduction or restoration.

It originates from the name of a book, circa 825 C.E., by Muhammad ibn Musa al-Khwarizmi:

Al-Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala (The Compendious Book on Calculation by Completion and Balancing)