[FOM] UFD example?
joeshipman at aol.com
Sat Nov 17 21:38:46 EST 2007
What is an example of Unique Factorization Domain which is neither a
Principal Ideal Domain nor (isomorphic to) a polynomial ring? (By a
polynomial ring I mean a ring R[x] formed by adjoining an indeterminate
to a ring; such rings are UFDs if the original ring was, by the
generalized Gauss Lemma).
My earlier query about rings with a transfinite Euclidean algorithm is
separate from this, because such rings are PIDs (by the usual proof,
using the algorithm to find a "GCD" of two elements in the ideal they
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