# Identity element

## Specific element of an algebraic structure / From Wikipedia, the free encyclopedia

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In mathematics, an **identity element** or **neutral element** of a binary operation is an element that leaves unchanged every element when the operation is applied.[1][2] For example, 0 is an identity element of the addition of real numbers. This concept is used in algebraic structures such as groups and rings. The term *identity element* is often shortened to *identity* (as in the case of additive identity and multiplicative identity)[3] when there is no possibility of confusion, but the identity implicitly depends on the binary operation it is associated with.

Specific element of an algebraic structure