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Additive group

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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://www.encyclopediaofmath.org/index.php?title=Additive_group&oldid=17479
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098