Definition:Field Zero

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

The identity for field addition is called the field zero (of $\struct {F, +, \times}$).

It is denoted $0_F$ (or just $0$ if there is no danger of ambiguity).

Also known as

When it is clear and unambiguous what is being discussed, the field zero is often called just the zero.

In the context of number fields, the field zero can also be referred to as the additive identity.

Also see