Extensions of normal bases and completely basic fields

DOI10.1090/S0002-9947-1957-0087632-7zbMath0081.03502MaRDI QIDQ3249018

Carl Faith

Publication date: 1959

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

number fields, function fields

Related Items

Completely normal elements in some finite abelian extensions, Galois extensions in which every element with regular trace is a normal basis element, Stabile Teilkörer galoisscher Erweiterungen und ein Problem von C. Faith. (Stable subfields of Galois extensions and a problem of C. Faith), A characterization of completely regular abelian extensions, A decomposition theory for cyclotomic modules under the complete point of view, Abelian extensions in which any regular element is completely regular.

Cites Work

• Unnamed Item
• Unnamed Item
• Galoissche Theorie und Darstellungstheorie
• On Frobeniusean algebras. 2
• Normal bases of cyclic fields of primepower degree
• Galois extensions in which every element with regular trace is a normal basis element
• The Construction of a Normal Basis in a Separable Normal Extension Field
• The Normal Basis Theorem