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Reference.org
Additive identity
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, the additive identity of a <a href="/facts/Set_(mathematics)/BfucfHMq">set</a> that is equipped with the <a href="/facts/Operation_(mathematics)/Yplv602Q">operation</a> of <a href="/facts/Addition/apFWJBFB">addition</a> is an <a href="/facts/Element_(mathematics)/Q2mx1vHL">element</a> which, when added to any element x in the set, yields x. One of the most familiar additive identities is the number <a href="/facts/0_(number)/4NBRtKHc">0</a> from <a href="/facts/Elementary_mathematics/J0Jt18pb">elementary mathematics</a>, but additive identities occur in other mathematical structures where addition is defined, such as in <a href="/facts/Group_(mathematics)/IQTYqINt">groups</a> and <a href="/facts/Ring_(mathematics)/JnCUXz63">rings</a>. </p>