Any set that has the properties of
- Associativity of Addition, Multiplication
- Commutivity of Addition, Multiplication
- Additive Identity, Multiplicative Identity
- Additive Inverse
- Multiplicative Inverse
- Distributivity of Multiplication under Addition
Examples
- Real Number
- Rational Number
- Complex Number (As its a superset of Real Number)
Non-Examples
- Natural Number (No additive inverses)
- Integers (No multiplicative inverses)