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Displaying similar documents to “Self-dual normal bases for infinite odd abelian Galois ring extensions”

Remarks on normal bases

Marcin Mazur (2001)

Colloquium Mathematicae

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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.