Unique factorization over fields/rings

  • #1
784
11
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
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.
 
  • Like
Likes PsychonautQQ
  • #3
i agree.
 
  • Like
Likes PsychonautQQ

Suggested for: Unique factorization over fields/rings

Replies
6
Views
1K
Replies
12
Views
940
Replies
1
Views
2K
Replies
1
Views
970
Back
Top