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

  1. 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


The above text is a snippet from Wiktionary: identity element
and as such is available under the Creative Commons Attribution/Share-Alike License.

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