On the integer form of the additive Hilbert's Theorem 90

Toufik Zaı̈mi; Toufik Zaimi

doi:10.1016/j.laa.2004.04.023

Back

On the integer form of the additive Hilbert's Theorem 90

Journal article

Open access

Peer reviewed

On the integer form of the additive Hilbert's Theorem 90

Toufik Zaı̈mi and Toufik Zaimi

Linear algebra and its applications, Vol.390(1-3), pp.175-181

01/10/2004

DOI: https://doi.org/10.1016/j.laa.2004.04.023

Abstract

Cyclic extensions

Hilbert's Theorem 90

Number fields

Let K be a number field whose ring of integers is a principal ideal domain and let E be a cyclic Galois extension of K. We prove that every integer of E with zero trace is a difference of two conjugates of an integer of E if and only if there is an integer of E with trace 1.

Files and links (1)

url

https://doi.org/10.1016/j.laa.2004.04.023View

Published (Version of record) Open

Metrics

1 Record Views

Details

Title: On the integer form of the additive Hilbert's Theorem 90
Creators - without role: Toufik Zaı̈mi - King Saud University
Toufik Zaimi - Imam Mohammad Ibn Saud Islamic University (IMSIU)
Publication Details: Linear algebra and its applications, Vol.390(1-3), pp.175-181
Publisher: Elsevier Inc
Identifiers: 9916418308331
Academic Unit: Imam Mohammad Ibn Saud Islamic University (IMSIU)
Language: English
Resource Type: Journal article