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- Jun 22, 2012

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I am working through (beginning, anyway) the proof of Theorem 7 which states the following:

"R is a Unique Factorization Domain if and only if R[x] is a Unique Factorization Domain"

The proof begins with the statement:

Proof: We have indicated above the R[x] a Unique Factorization Domain forces R to be a Unique Factorization Domain"

__Can anyone explain to me how and where D&F indicate or explain this first statement of the proof. Secondly, what is the explanation. I am so far unable to find anything that indicates to me that this is true.__

**Question!**I have provided Section 9.3 up to Theorem 7 as an attachment.

Would appreciate some help.

Peter

[This question is also posted on MHF]