Definition:Additive Group of Field

Definition
Let $\struct {F, +, \times}$ be a field.

The group $\struct {F, +}$ is known as the additive group of $F$.

Also see

 * Definition:Additive Group of Rational Numbers
 * Definition:Additive Group of Real Numbers
 * Definition:Additive Group of Complex Numbers


 * Definition:Additive Group of Ring


 * Definition:Additive Group of Integers
 * Definition:Additive Group of Integer Multiples
 * Definition:Additive Group of Integers Modulo m