The identity element (also denoted , , or 1) of a group or related mathematical structure is the unique element such that for every element . The symbol "" derives from the German word for unity, "Einheit." An identity element is also called a unit element.

# Identity Element

## See also

Binary Operator, Group, Group Involution, Monoid## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Identity Element."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/IdentityElement.html