Ring of functions from a ring to itself

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Revision as of 01:52, 6 February 2009 by Vipul (talk | contribs) (New page: ==Definition== Let <math>R</math> be a commutative unital ring. The '''ring of functions''' from <math>R</math> to itself is the ring of all functions <math>f: R \to R</math> with poi...)
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Definition

Let R be a commutative unital ring. The ring of functions from R to itself is the ring of all functions f: R \to R with pointwise addition and multiplication.

This ring is sometimes denoted \operatorname{Func}(R), sometimes F(R,R).