Remarks on normal bases

• Autorzy: Marcin Mazur
• Języki publikacji: EN

Abstrakty

EN

We prove that any Galois extension of a commutative ring with a normal basis and abelian Galois group of odd order has a self-dual normal basis. We apply this result to get a very simple proof of nonexistence of normal bases for certain extensions which are of interest in number theory.

Kategorie tematyczne

• 11R33: Integral representations related to algebraic numbers; Galois module structure of rings of integers

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 87
• Numer: 1
• Strony: 79-84

Daty

wydano

2001

Twórcy

autor

Marcin Mazur

• Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL 61801, U.S.A.

Identyfikatory

DOI

10.4064/cm87-1-4