Open AccessGeneralizations of the normal basis theorem
Author(s) -
Elise Björkholdt,
Patrik Lundström
Publication year - 2004
Publication title -
mathematica scandinavica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.553
H-Index - 30
eISSN - 1903-1807
pISSN - 0025-5521
DOI - 10.7146/math.scand.a-14437
Subject(s) - mathematics , basis (linear algebra) , normal basis , extension (predicate logic) , element (criminal law) , field (mathematics) , pure mathematics , base (topology) , polynomial basis , field extension , algebra over a field , finite field , galois module , discrete mathematics , mathematical analysis , geometry , computer science , political science , law , programming language
We give several generalizations of the normal basis and primitive element theorems for a finite Galois field extension, with an infinite base field. These generalizations are obtained by considering polynomial expressions of conjugates of a fixed element.