文章基本信息

标题：Invariance of recurrence sequences under a galois group
本地全文：下载
作者：Hassan Al-Zaid ; Surjeet Singh
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1996
卷号：19
DOI：10.1155/S0161171296000464
出版社：Hindawi Publishing Corporation
摘要：Let F be a Galois field of order q, k a fixed positive integer and R=Fk×k[D] where D is an indeterminate. Let L be a field extension of F of degree k. We identify Lf with fk×1 via a fixed normal basis B of L over F. The F-vector space Γk(F)(=Γ(L)) of all sequences over Fk×1 is a left R-module. For any regular f(D)∈R, Ωk(f(D))={S∈Γk(F):f(D)S=0} is a finite F[D]-module whose members are ultimately periodic sequences. The question of invariance of a Ωk(f(D)) under the Galois group G of L over F is investigated.