Idempotent element

From Groupprops
Revision as of 20:56, 31 July 2008 by Vipul (talk | contribs) (New page: {{magma-element property}} ==Definition== An element <math>a</math> in a magma <math>(S,*)</math> is termed '''idempotent''' if <math>a * a = a</math>. ==Relation with other propert...)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

This article defines a property of elements or tuples of elements with respect to a binary operation

Definition

An element a in a magma (S,*) is termed idempotent if a*a=a.

Relation with other properties

Stronger properties

Weaker properties

Retrieved from "https://groupprops.subwiki.org/w/index.php?title=Idempotent_element&oldid=11779"