identity element

For other uses, see identity (disambiguation).In mathematics, an identity element (or neutral element) is a special type of element of a set with respect to a binary operation on that set. It leaves other elements unchanged when combined with them. This is used for groups and related concepts. The term identity element is often shortened to identity when there is no possibility of confusion; we do so in this article.
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Noun
1. an operator that leaves unchanged the element on which it operates; "the identity under numerical multiplication is 1"
(synonym) identity, identity operator
(hypernym) operator

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