On the colength of fractional ideals
The main result in this paper is to supply a recursive formula, on the number of minimal primes, for the colength of a fractional ideal in terms of the maximal points of the value set of the ideal itself. The fractional ideals are taken in the class of complete admissible rings, a more general class...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | The main result in this paper is to supply a recursive formula, on the number
of minimal primes, for the colength of a fractional ideal in terms of the
maximal points of the value set of the ideal itself. The fractional ideals are
taken in the class of complete admissible rings, a more general class of rings
than those of algebroid curves. For such rings with two or three minimal
primes, a closed formula for that colength is provided, so improving results by
Barucci, D'Anna and Fr\"oberg. |
|---|---|
| DOI: | 10.48550/arxiv.1907.10666 |