| − | '''Abstract algebra''' is a branch of [[mathematics]] that consists of [[group theory]] and [[linear algebra]]. | + | '''Abstract algebra''' is a branch of [[algebra]] that generalizes elementary algebra to include various algebraic structures. An algebraic structure is a combination of a [[set]] with one or more operations. Algebraic structures include groups (see [[group theory]]), fields, and rings amongst others. For example, elementary algebra (see [[algebra]]) is an algebraic structure consisting of the set of [[complex numbers]] with various operations, such as addition, multiplication, logarithms, etc.<ref>Pinter, Charles; A Book of Abstract Algebra, Second Edition; 1990. See [http://www2.math.umd.edu/~jcohen/402/Pinter%20Algebra.pdf]</ref> |