Identity Element (original) (raw)

TOPICS

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology

Alphabetical Index New in MathWorld

• Algebra
• Group Theory
• Group Properties

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.

See also

Binary Operator, Group,Group Involution, Monoid

Explore with Wolfram|Alpha

More things to try:

• birthday problem 35 people
• continuum hypothesis
• JacobiDN(EllipticK(k), k)

Cite this as:

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

Subject classifications

• Algebra
• Group Theory
• Group Properties