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Longer titles found: Noncommutative unique factorization domain (view)

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alternate case: Unique factorization domain

Dimension theory (algebra) (6,961 words) [view diff] exact match in snippet view article

which is absurd. Q.E.D. Corollary—A regular local ring is a unique factorization domain. Proof: Let R be a regular local ring. Then gr ⁡ R ≃ k [ x 1