An example of an identity element is 0 in the equation 5+0=5.
(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