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⇱ Identity Element -- from Wolfram MathWorld


👁 Image

Identity Element


The identity element 👁 I
(also denoted 👁 E
, 👁 e
, or 1) of a group or related mathematical structure 👁 S
is the unique element such that 👁 Ia=aI=a
for every element 👁 a in S
. The symbol "👁 E
" 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

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Cite this as:

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

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