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p-Adic ideals of p-rank d and the p-adic Nullstellensatz

✍ Scribed by Ahmed Srhir

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
152 KB
Volume
180
Category
Article
ISSN
0022-4049

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πŸ“œ SIMILAR VOLUMES

Indecomposability of ideals of p-adic nu
Indecomposability of ideals of p-adic number fields
✍ Yoshimasa Miyata πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 207 KB

Let K=k be a Galois p-extension over a p-adic number field k and G 1 be the first ramification group. We show that any ideal A of K is absolutely oG-indecomposable if and only if the order jG 1 j does not divide the different D K=k :

The Ward property for a P-adic basis and
The Ward property for a P-adic basis and the P-adic integral
✍ B. Bongiorno; L. DiΒ Piazza; V.A. Skvortsov πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 145 KB

An Henstock-Kurzweil type integral with respect to a P-adic basis is considered. It is shown that a P-adic basis possesses the Ward property if and only if the sequence by which it is defined is bounded. As a consequence, some full descriptive characterizations of the P-adic integral in the bounded