identity element
Definition from Wiktionary, the free dictionary
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[edit] English
[edit] Noun
identity element (plural identity elements)
- (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
[edit] Translations
member of a structure
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