|
| << vorige | volgende >> |
Tijdschrift beschrijving
Alle jaargangen van het bijbehorende tijdschrift
Alle afleveringen van het bijbehorende jaargang
Alle artikelen van de bijbehorende aflevering
Details van artikel 17 van 21 gevonden artikelen
| Titel: |
Simple complete ideals in two-dimensional regular local rings |
| Auteur: |
Noh, Sunsook |
| Verschenen in: |
Communications in algebra |
| Paginering: | Jaargang 25 (1997) nr. 5 pagina's 1563-1572 |
| Jaar: |
1997 |
| Inhoud: |
In a two-dimensional regular local ring (R,m), it is known that there exists a unique complete ideal I adjacent to a given simple complete m-primary ideal J from above. In this paper it is shown that there are infinitely many simple complete m-primary ideals adjacent to a given simple complete m-primary ideal J (≠ m) from below whose orders are the same as that of J and that there exists a unique complete m-primary ideal adjacent to J from below whose order is one bigger than that of J. We also show that these are all the complete ideals adjacent to J from below. It is known that there is a unique prime divisor w and a unique infinitely near point S of R associated to a given simple complete m-primary ideal J. As a corollary of the main theorem, we obtain one-to-one correspondences between the set of simple m-primary complete ideals adjacent to J from below, the set of first neighborhood prime divisors of w and the set of first quadratic transformations of S. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 17 van 21 gevonden artikelen
| << vorige | volgende >> |