Definition:Identity/Also known as

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Identity: Also known as

Other terms which are seen that mean the same as identity are:

  • Two-sided identity, to reflect the fact that it is both a left identity and a right identity.
  • Neutral element, which is perfectly okay, but considered slightly old-fashioned.
  • Unit element, but this is not recommended as it is too easy to confuse it with a unit of a ring.
  • Unity, but this is generally reserved for a ring unity.
  • Zero, but it is best to reserve that term for a zero element.
  • The trivial element, in the context of a group.

The symbols used for an identity element are often found to include $0$ and $1$. In the context of the general algebraic structure, these are not recommended, as this can cause confusion.

Some sources use $I$ for the identity.


Sources