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Differences in sets of lengths of krull monoids with finite class group (2005).
| Content Provider | CiteSeerX |
|---|---|
| Author | Schmid, Wolfgang A. |
| Abstract | Let H be a Krull monoid with finite class group where every class contains some prime divisor. It is known that every set of lengths is an almost arithmetical multiprogression. We investigate which integers occur as differences of these pro-gressions. In particular, we obtain upper bounds for the size of these differences. Then, we apply these results to show that, apart from one known exception, two elementary p-groups have the same system of sets of lengths if and only if they are isomorphic. |
| File Format | |
| Journal | JOURNAL DE THÉORIE DES NOMBRES |
| Publisher Date | 2005-01-01 |
| Access Restriction | Open |
| Subject Keyword | Finite Class Group Sait Que Deux P-groupes Nous Tudions Arithmetical Multiprogression Elementary P-groups Une Presque Multi-progression Arithme Tique Nombres Entiers Nous Obtenons Nous Pouvons Montrer Que Krull Monoid Ce Progression Krull Dont Le Groupe Sont Iso-morphes Ce Raisons Seulement Si En Appliquant Ce Apparaissent Comme Raison Le Mentaires Krull Monoids Upper Bound Prime Divisor Schmid Re Sume |
| Content Type | Text |
