Problem

Let S be a nonempty set and let . be the set of all functions that map S into S. Suppose...

Let S be a nonempty set and let . be the set of all functions that map S into S. Suppose that for every f and g in we have

(f ° g)(x) = (g ° f)(x) for all x ∈ S.

Prove that S has only one element.

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Solutions For Problems in Chapter 2.7S

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