Unique factorization over fields/rings

  • #1
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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?
 

Answers and Replies

  • #2
Stephen Tashi
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is F[x] the field of all polynomials or something?
To me, the "F[x]" looks like a typo that should be "R[x]" instead.
 
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  • #3
mathwonk
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i agree.
 
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