Glossary of field theory

Field theory is the branch of mathematics in which fields are studied.

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on rational numbers do. A field is thus a fundamental algebraic structure which is widely used in algebra, number theory, and many other areas of mathematics.

This is a glossary of some terms of the subject. (See field theory (physics) for the unrelated field theories in physics.)