Normsets and determination of unique factorization in rings of algebraic integers
Authors:
Jim Coykendall
Affiliation:
Department of Mathematics, Cornell University, Ithaca, New York 14853
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.