## IDENTITYELEMENT

### Identity element

In mathematics, an**identity 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.

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### identity element

#### Noun

- A member of a structure which, when applied to any other element via a binary operation induces an identity mapping; more specifically, given an operation
***, an element*I*is- a
*left identity*if*I * x = x*for any*x*in the structure - a
*right identity*,*x * I = x*for any*x*in the structure - simply an
*identity element*if both are true

- a

*The above text is a snippet from Wiktionary: identity element*

and as such is available under the Creative Commons Attribution/Share-Alike License.

and as such is available under the Creative Commons Attribution/Share-Alike License.