User quaestion - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-22T08:14:05Z http://mathoverflow.net/feeds/user/25254 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/10934/class-number-measuring-the-failure-of-unique-factorization/102804#102804 Answer by quaestion for Class number measuring the failure of unique factorization quaestion 2012-07-21T10:48:25Z 2012-07-21T10:48:25Z <p>there is a theorem: we know that for every number field $K$ (with class number not necessarily 1) there exists a unique factorization domain $\mathcal R_K$, $\mathcal O_K\subset \mathcal R_K\subset K$ such that it's group of invertible elements is finitely generated.</p> <p>what is the reference for this result?</p> http://mathoverflow.net/questions/10934/class-number-measuring-the-failure-of-unique-factorization/102804#102804 Comment by quaestion quaestion 2012-07-23T19:17:43Z 2012-07-23T19:17:43Z thank you......