the addition and multiplication identity of element of R are
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R becomes a ring with identity when we define addition and multiplication as in elementary calculus : ( f + g ) ( x ) = f ( x ) + g ( x ) and ( fg ) ( x ) = f ( x ) g ( x ) . The identity element is the constant function 1. R is commutative because Ris , but it does have zero divisors for almost all choices of X.
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