identity element

English

Wikipedia

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

• Finnish: identiteettialkio (fi)
• Spanish: elemento neutro por la izquierda (es), elemento neutro por la derecha (es)

• Swedish: identitetselement (sv) n