Define S: Z+ Z+ by the rule: For all integers n, S(n) = the sum of the positive divisors
Chapter 7, Problem 26(choose chapter or problem)
Define S: \(\mathbf{Z}^{+}-\mathbf{Z}^{+}\) by the rule: For all integers n,
S(n) = the sum of the positive divisors of n.
a. Is S one-to-one? Prove or give a counterexample.
b. Is S onto? Prove or give a counterexample.
Text Transcription:
mathbf Z^+ -mathbf Z^+
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