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Homework Help: Quick question on the characteristic of a ring.

  1. Jul 21, 2012 #1
    I was looking back at a proof I did a while ago. Suppose na=0 with n≠0 and a≠0. Then n is a multiple of the characteristic. I supposed p < n is our characteristic, then I simply used the divison algorithm (I divided n by p) and the distributive property which lead to the remainder being 0. From there, I concluded the desired result. I don't want to bore anyone with the details, but does that seem like a valid approach.

    Thanks! :shy:
     
  2. jcsd
  3. Jul 21, 2012 #2
    Seems ok!
     
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