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Homework Help: Ring axioms

  1. Apr 15, 2010 #1
    1. The problem statement, all variables and given/known data

    Show that a+b = b+a follows from the other ring axioms.

    2. Relevant equations

    a + 0 = 0 + a = a (?)

    3. The attempt at a solution
    I know this is probably a simple algebraic manipulation, probably with the distributive law, but I don't know how to start! I'm sure I need some 1s and 0s somewhere.

  2. jcsd
  3. Apr 15, 2010 #2


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    Staff Emeritus
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    Gold Member


    Try expanding in two different ways
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