# Additive group

From Encyclopedia of Mathematics

*of a ring*

The group formed by all elements of the given ring with respect to the addition operation in the ring. The additive group of a ring is always Abelian.

**How to Cite This Entry:**

Additive group. O.A. Ivanova (originator),

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Additive_group&oldid=17479

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098