Identity element
From Encyclopedia of Mathematics
neutral element, unit element, zero element
An element of an algebraic structure , often denoted 1, I or e, with a specific property with respect to a binary operation *: \forall x \in S \ \ 1 * x = x * 1 = x\ .
Where the binary operation is written additively, the identity element may be denoted 0 or O, and termed a zero element.
How to Cite This Entry:
Identity element. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Identity_element&oldid=35633
Identity element. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Identity_element&oldid=35633