Cohomology and the normal basis theorem

被引:0
|
作者
Lundstrom, Patrik [1 ]
机构
[1] Univ Wesr, Dept Technol Math & Comp Sci, S-46129 Trollhattan, Sweden
来源
INDAGATIONES MATHEMATICAE-NEW SERIES | 2007年 / 18卷 / 01期
关键词
D O I
10.1016/S0019-3577(07)80007-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We use an inverse limit version of Hilbert's theorem 90 to obtain a cohomological proof, based on Galois descent, of Lenstra's version of the normal basis theorem for infinite Galois field extensions.
引用
收藏
页码:69 / 72
页数:4
相关论文
共 50 条
  • [1] NORMAL BASIS THEOREM
    WATERHOUSE, WC
    AMERICAN MATHEMATICAL MONTHLY, 1979, 86 (03): : 212 - 212
  • [2] On the normal basis theorem
    Blessenohl, Dieter
    NOTE DI MATEMATICA, 2007, 27 (01): : 5 - 10
  • [3] GENERALIZATION OF NORMAL BASIS THEOREM
    WINTER, DJ
    MATHEMATISCHE NACHRICHTEN, 1972, 54 (1-6) : 75 - 77
  • [4] Generalizations of the normal basis theorem
    Björkholdt, E
    Lundström, P
    MATHEMATICA SCANDINAVICA, 2004, 94 (02) : 185 - 190
  • [5] PROOF OF NORMAL BASIS THEOREM
    BERGER, TR
    REINER, I
    AMERICAN MATHEMATICAL MONTHLY, 1975, 82 (09): : 915 - 918
  • [6] A NORMAL INTEGRAL BASIS THEOREM
    SZE, A
    JOURNAL OF ALGEBRA, 1980, 66 (02) : 544 - 549
  • [7] Analytic normal basis theorem
    Alexandru, Victor
    Popescu, Nicolae
    Zaharescu, Alexandru
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2008, 6 (03): : 351 - 356
  • [8] NORMAL INTEGRAL BASIS THEOREM
    FROHLICH, A
    JOURNAL OF ALGEBRA, 1976, 39 (01) : 131 - 137
  • [9] The strong primitive normal basis theorem
    Cohen, Stephen D.
    Huczynska, Sophie
    ACTA ARITHMETICA, 2010, 143 (04) : 299 - 332
  • [10] A generalization of the primitive normal basis theorem
    Hsu, Chih-Nung
    Nan, Ting-Ting
    JOURNAL OF NUMBER THEORY, 2011, 131 (01) : 146 - 157