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Normsets and determination of unique factorization in rings of algebraic integers |
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| Authors: | Jim Coykendall |
| Institution: | 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. |
| Keywords: | Normsets Galois (extension) norm factorization field (extension) Minkowski bound |
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