# Additive group

From HandWiki

An **additive group** is a group of which the group operation is to be thought of as *addition* in some sense. 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.

## References

- ↑ Bourbaki, N. (1998), "§8.1 Rings",
*Algebra I: Chapters 1–3*, Springer, p. 97, ISBN 978-3-540-64243-5, https://books.google.com/books?id=STS9aZ6F204C&pg=PA97

Original source: https://en.wikipedia.org/wiki/Additive group.
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