On unique factorization domains

1961/03/01 by Pierre Samuel · 1 voice · 2 citations
Mathematics · #Rings, Modules, and Algebras

paper · pdf · doi:10.1215/ijm/1255629643

crossref issued 1961/03/01 · crossref published 1961/03/01 · crossref published-print 1961/03/01 · openalex publication_date 1961/03/01 · crossref created 2019/02/28 · crossref deposited 2024/01/30 · openalex created_date 2025/10/10 · crossref indexed 2026/01/09 · openalex updated_date 2026/07/22

Cited by

• On the axioms for a unique factorization domain
• On the integrality of nth roots of generating functions

Discussions

• How about this one? If R is the localization of k[x,y,z]/(z²−x³−y⁷) at (x,y,z) over a perfect field k of characteristic 2, then R is a UFD, but R[[t]] is not a UFD. (Samuel, “On Unique Factorization [bsky, 4 points, 0 comments]