identity element

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Contents 1 English 1.1 Noun 1.1.1 Related terms 1.1.2 Translations

[edit] English

Wikipedia

[edit] Noun

identity element (plural identity elements)

1. (algebra) 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

[edit] Related terms

• neutral element

[edit] Translations