let R be a ring; X a non-empty set and (F(X, R), +, *) the...

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let R be a ring; X a non-empty set and (F(X, R), +, *) the ringof the functions from X to R. Show directly the associativity ofthe multiplication of F(X, R). Assume that R is unital andcommutative. show that F(X, R) is also unital and commutative.

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