# Talk:Absorbing element

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Field: Algebra

## Absorbing elements for multiary operations

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)