Normsets and determination
of unique factorization
in rings of algebraic integers
Abstract: The image of the norm map from to (two rings of algebraic integers) is a multiplicative monoid . We present conditions under which is a UFD if and only if has unique factorization into irreducible elements. From this we derive a bound for checking if is a UFD.
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Affiliation: Department of Mathematics, Cornell University, Ithaca, New York 14853
Address at time of publication: Department of Mathematics, Lehigh University, Bethlehem, Pennsylvania 18015
Email: firstname.lastname@example.org, email@example.com
Keywords: Normsets, Galois (extension), norm factorization field (extension), Minkowski bound
Received by editor(s): March 21, 1994
Received by editor(s) in revised form: December 29, 1994
Communicated by: William W. Adams
Article copyright: © Copyright 1996 American Mathematical Society