View source for Additive identity

In [[mathematics]] the '''additive identity''' of a [[Set (mathematics)|set]] which is equipped with the [[Operation (mathematics)|operation]] of [[addition]] is an [[Element (mathematics)|element]] which, when added to any element x in the set, yields x.

== Description ==

One of the most familiar additive identities is the [[0 (number)|number 0]] from [[elementary mathematics]], but additive identities occur in other [[Mathematical structure|mathematical structures]] where [[addition]] is defined, such as in [[Group (mathematics)|groups]] and [[Ring (mathematics)|rings]].

== See also ==

* [[0 (number)]]
* [[Additive inverse]]
* [[Element (mathematics)]]
* [[Identity element]]
* [[Multiplicative identity]]
* [[Set (mathematics)]]

== External links ==

* [https://en.wikipedia.org/wiki/Additive_identity Additive identity] @ Wikipedia


[[Category:Mathematics]]