Identity element

From Citizendium
Revision as of 20:33, 8 December 2008 by Richard Pinch (Talk | contribs) (subpages)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search
This article is a stub and thus not approved.
Main Article
Related Articles  [?]
Bibliography  [?]
External Links  [?]
Citable Version  [?]
This editable Main Article is under development and subject to a disclaimer.

In algebra, an identity element or neutral element with respect to a binary operation is an element which leaves the other operand unchanged, generalising the concept of zero with respect to addition or one with respect to multiplication.

Formally, let be a binary operation on a set X. An element I of X is an identity for if

holds for all x in X. An identity element, if it exists, is unique.


See also