Additive group

It is usually abelian, and typically written using the symbol + for its binary operation.

This terminology is widely used with structures equipped with several operations for specifying the structure obtained by forgetting the other operations.

Examples include the additive group[1] of the integers, of a vector space and of a ring.

This is particularly useful with rings and fields to distinguish the additive underlying group from the multiplicative group of the invertible elements.

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