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Unique factorization over fields/rings

  1. Jan 28, 2015 #1
    Here is a direct quote from my textbook:
    If R is a commutative ring, we say that a polynomial d in R[x] is a divisor of f in R[x] if f = qd for some q in F[x].

    My question is did they mean to put q in F[x}? q isn't in R[x]? They didn't mention F[x] before this, is F[x] the field of all polynomials or something?
  2. jcsd
  3. Jan 28, 2015 #2

    Stephen Tashi

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    To me, the "F[x]" looks like a typo that should be "R[x]" instead.
  4. Feb 5, 2015 #3


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    i agree.
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