Complete Definition of "identity element"

English

Noun

en-noun|sg=identity element

  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

Translations
Spanish: elemento neutro por la izquierda, elemento neutro por la derecha
Swedish: identitetselement n

Related terms
element
identity

ru:identity element

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