For a commutative Noetherian ring R, if R[[x]] is a unique factorization domain, then R[[x,y]] is also a unique factorization domain.
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The Noetherian Case of Bayart's Power-Series Question
For a commutative Noetherian ring R, if R[[x]] is a unique factorization domain, then R[[x,y]] is also a unique factorization domain.