A field is a set of numbers together with the Field axioms.
Let F be a field. Then, assuming a, b, and c are elements of F, the following axioms hold:
name | addition | multiplication |
---|---|---|
closure | ||
commutative | ||
associative | ||
distributive | ||
identity | ||
inverse |
A field is a set of numbers together with the Field axioms.
Let F be a field. Then, assuming a, b, and c are elements of F, the following axioms hold:
name | addition | multiplication |
---|---|---|
closure | ||
commutative | ||
associative | ||
distributive | ||
identity | ||
inverse |