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Proof about functions

  1. May 19, 2016 #1
    1. The problem statement, all variables and given/known data
    Let σ : Z_11 → Z_11 be given by σ([a]) = [5a + 3]). Prove that σ is bijective.

    2. Relevant equations

    3. The attempt at a solution
    I am just wondering if I can treat σ as a normal function and prove that is bijective by using the definitions of one to one and onto.
  2. jcsd
  3. May 19, 2016 #2


    Staff: Mentor

    Yes, so long as you keep in mind how σ is defined, as regards what equivalence class maps to what other equivalence class.
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