UNIQUE FACTORIZATION IN REGULAR LOCAL RINGS
نویسندگان
چکیده
منابع مشابه
Unique Factorization in Regular Local Rings.
In this note we prove that every regular local ring of dimension 3 is a unique factorization domain. Nagata4 showed (Proposition 11) that if every regular local ring of dimension 3 is a unique factorization domain, then every regular local ring has unique factorization.* Thus, combining these results we have that every regular local ring is a unique factorization domain. Throughout this note R ...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1959
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.45.5.733