Talk:Absorbing element

From Wikipedia, the free encyclopedia
Jump to: navigation, search
WikiProject Mathematics (Rated Start-class, Low-importance)
WikiProject Mathematics
This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of Mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.
Mathematics rating:
Start Class
Low Importance
 Field: Algebra

Absorbing elements for multiary operations[edit]

For a nullary operation on a set X, which is just an element x of X, all elements of X are considered to be absorbing elements, regardless of whether they are equal to x.

For a unary operation f, an absorbing element is simply a fixed point of f.

In general, an absorbing element for a multiary operation and a position i is an element x of X such that applying the operation gives x whenever the element in the ith position is x. An absorbing element is an element of X that is an absorbing element for every position. GeoffreyT2000 (talk) 02:08, 19 May 2015 (UTC)