identity element

English

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

Related terms

• neutral element

Translations

member of a structure

• Dutch: identiteit (nl) f
• Finnish: identiteettialkio
• Hebrew: איבר יחידה m
• Russian: то́ждество (ru) n (tóždestvo), тожде́ственность (ru) f (toždéstvennostʹ)
• (deprecated template usage) {{trans-mid}}
• Spanish: ^{(please verify)} elemento neutro m, ^{(please verify)} elemento neutro por la izquierda, ^{(please verify)} elemento neutro por la derecha
• Swedish: identitetselement (sv) n